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.
One example: [1, 2, 3]
Solution is here: [0.167, 0.333, 0.500]
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.

Now, solve this: [45.576, 110.356, -26.839, -27.367, -80.644, 185.571, 119.375, -75.17, 221.163, 182.722]
Solution:
[ 0.07   0.169 -0.041 -0.042 -0.123  0.283  0.182 -0.115  0.338  0.279]