Sophie earned a grade of 72% on her multiple choice history final that had a total of 200 problems. How many problems on the final exam did Sophie get wrong?

If Sophie earned a grade of 72% on the final exam, this means she answered 72% of the problems correctly. To find out how many problems she got wrong, we first need to calculate how many problems she got right.

72% of 200 problems is:
(72/100) * 200 = 0.72 * 200 = 144 problems

So, Sophie got 144 problems correct. To find out how many problems she got wrong, we subtract the number of correct problems from the total number of problems on the exam:

200 total problems - 144 correct problems = 56 problems wrong

Therefore, Sophie got 56 problems wrong on her multiple choice history final exam.