"one last example" is perfectly correct and usable in written English.
You can use it when you are about to provide an example that is the last in a list of examples. For example, "Let's look at one last example to illustrate this concept: if a person is paid $20 an hour, they will make $160 in an 8-hour work day."
Quinault provided one last example of the power of the wilderness.
One last example: People who take supplements are healthier than the population at large, but their health probably has nothing whatsoever to do with the supplements they take — which recent studies have suggested are worthless.
One last example: the title of the popular American TV show The Wire initially referred to a wire-tap that the Baltimore police were using to try to nail an outfit of local drug dealers, but soon became a metaphor for the premise that a wide variety of organisations and individuals in the city of Baltimore were connected.
These extraneous but unavoidable factors are called, aptly, "confounders". One last example: People who take supplements are healthier than the population at large, but their health probably has nothing whatsoever to do with the supplements they take — which recent studies have suggested are worthless.
Even the identity of the Australian who twisted the knife was predictable – Darren Lockyer who, before ending his great career with a fairytale try and a comical missed goal‑kick, had set up the crucial score for Jharal Yow Yeh with one last example of the composure and vision that has denied Great Britain, New South Wales and various club sides on so many occasions over the past 16 years.
Forbes: One last example you want to share?
I'll leave you with one last personal example.
One last Wal-Mart example shows how a company can save money in the long run by buying from sustainably managed sources.
His most recent one last Sunday cited the example of the city seal of Montgomery, Alabama, which rather amazingly hails the city both as the "Birthplace of the Civil Rights Movement" and as the "Cradle of the Confederacy".
The first four obi examples are innovative designs by the teachers of the Hakubi School; the last example is one of the simplest obi knot, the "Nagoya obi" knot.
The last example is one of a classical matter field confined in a sphere.
