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: [181.859, 52.763, 225.621, -50.983, -59.864, 130.141, -70.398, -85.015, 73.359, 84.442]

Solution: [ 0.377  0.109  0.468 -0.106 -0.124  0.27  -0.146 -0.176  0.152  0.175]