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The phrase "approximately one in four" is correct and usable in written English.
It can be used when discussing statistics or proportions, particularly in contexts such as surveys, studies, or demographic data.
Example: "According to the recent survey, approximately one in four respondents reported feeling satisfied with their job."
Alternatives: "about 25 percent" or "roughly one-quarter".
Exact(60)
On the whole, approximately one in four children with an ASD meets diagnostic criteria for either ODD or CD.
Around one-third of respondents were non-drinkers, while approximately one in four reported having, on average, more than two standard drinks on days when they consumed alcohol.
Pilot work on the MTU revealed that approximately one in four patients discharged from the unit were readmitted within a 3 month period (i.e., 51 out of 219 cases reviewed in our pilot work).
It means that approximately one in four Brazilians receives the benefit – the total population is about 198 million people.
This year, said director Tom Hunter, 34 books were submitted by female writers, a ratio of "approximately one in four, [of which] one in three made it through to the discussion list of 30 titles from which the judges made their final selection today".
After Lyndon Johnson decided to join the ticket with John F. Kennedy, he calculated his odds of ascension to be approximately one in four, and is said to have told Clare Boothe Luce, "I'm a gambling man, darling, and this is the only chance I've got".
Approximately one in four migraine patients switched to TTH.
It is noteworthy that approximately one in four of our study participants did not receive routine primary care.
This protection is imperative, as approximately one in four of all motor vehicle crashes that involve children occur from the side, and these result in a significantly higher injury rate than frontal or rear impacts, according to the Children's Hospital of Philadelphia.
Approximately one in four adults globally experience a mental health issue in a given year.
Approximately one in four people worldwide will experience a mental health issue at some point in their life.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com