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: [199.116, 172.781, -10.782, 245.544, 80.252, 69.871, 183.223, 99.327, -44.796]

Solution: [ 0.2    0.174 -0.011  0.247  0.081  0.07   0.184  0.1   -0.045]