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: [-20.662, -52.067, 246.725, 78.801, 87.614, 108.377, 218.911, 96.704, 110.996, 200.145]

Solution: [-0.019 -0.048  0.229  0.073  0.081  0.101  0.204  0.09   0.103  0.186]