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.
Example: [1, 2, 3]
Example solution: [0.167, 0.333, 0.500]
Example explanation: 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.

Problem: [172.826, 169.032, 185.225, 205.816, 157.552, -91.991, -92.41, -70.223, 33.288]

Solution: [ 0.258  0.253  0.277  0.308  0.235 -0.137 -0.138 -0.105  0.05 ]