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: [19.754, 78.585, 28.785, 71.167, 13.897, -55.173, 245.209, 61.109]

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Solution: [ 0.043  0.17   0.062  0.154  0.03  -0.119  0.529  0.132]