The phrase "a rather different way" is correct and usable in written English.
It can be used to describe an approach or method that is notably distinct from others.
Example: "The researchers decided to present their findings in a rather different way, focusing on visual data representation instead of traditional charts."
Alternatives: "a significantly different approach" or "a distinctly different method."
This makes the play topical in a rather different way now.
"I am not a traditional kind of party leader, I do things in a rather different way".
Donaldson's success has been a little like that – she started the sentence, and everything else aligned to finish it in a rather different way than she intended.
I also found that the presence of real characters meant that purely fictional characters such as Billy Prior were created in a rather different way.
The Lost Words has also been spray-painted by graffiti artists all over a substation in woods near Cardiff; book-as-building in a rather different way.
The brain is built from neurons and these work in a rather different way from the silicon transistor-based circuits that lie under the bonnet of conventional chips.
That stretches, in a rather different manner, all the way to the current moment and the upcoming box-office battle between "Batman v Superman: Dawn of Justice" and "My Big Fat Greek Wedding 2".
This section provides an overview of this rather different way of developing a theory of ability.
At the Academy Awards, he is likely to be a victim of the rather different way the Oscar business works.
I do not deal here with the rather different way in which agricultural R&D in particular was handled in Scotland.
These theoretical findings are consistent with the experimental observations, that indicate that the disappearance of the oscillations takes place in two rather different ways: either suddenly after a series of practically undamped oscillations or through very slowly damped oscillations.
