In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.

Let me give you an example: [1, 2, 3]
The answer to this example can be: [0.167, 0.333, 0.500]
Here is why: The output list sums to 1.0 and has the same weight as the input 0.333 is twice as large as 0.167, .5 is 3 times as large as 0.167, and 0.5 is 1.5 times as large as 0.333. This is a good example.

OK. solve this:
[-55.312, 80.829, -34.996, 89.321, -79.882, -38.284, 132.969, 198.642, 172.825, 195.288]
Answer:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
[-0.084  0.122 -0.053  0.135 -0.121 -0.058  0.201  0.3    0.261  0.295]