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: [194.636, 220.288, 143.752, 248.447, 84.877, 149.316, 115.179, -31.472, 101.946, -27.917]

Solution: [ 0.162  0.184  0.12   0.207  0.071  0.125  0.096 -0.026  0.085 -0.023]