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: [37.639, 213.114, 103.439, 89.274, -80.715, -60.097, -94.8, 178.102, -30.889, 124.916]
Solution:
[ 0.078  0.444  0.216  0.186 -0.168 -0.125 -0.198  0.371 -0.064  0.26 ]