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: [-8.828, 94.093, 38.294, -45.221, 175.741, 157.759, -17.487, 78.882, 19.655, -59.866]

Solution: [-0.02   0.217  0.088 -0.104  0.406  0.364 -0.04   0.182  0.045 -0.138]