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: [162.868, 109.38, -79.491, 191.325, 43.996, 163.118, 14.367, 219.224, -51.994, -81.541]

Solution: [ 0.236  0.158 -0.115  0.277  0.064  0.236  0.021  0.317 -0.075 -0.118]