1. The problem asks how to get the numbers 1, 27, 35, 44, 52 from 172 and then find the corresponding numbers for 180. 2. First, let's understand the relationship between 172 and the numbers 1, 27, 35, 44, 52. 3. We check if these numbers are parts or segments of 172 by subtracting or dividing. 4. Calculate the differences between consecutive numbers: 27-1=26, 35-27=8, 44-35=9, 52-44=8. 5. These differences do not form a simple arithmetic progression, so let's check if these numbers are remainders or results of division. 6. Try dividing 172 by each number: 172/1=172, 172/27≈6.37, 172/35≈4.91, 172/44≈3.91, 172/52≈3.31. 7. No clear pattern emerges from division either. 8. Another approach is to check if these numbers are digits or sums related to 172. 9. Sum of digits of 172 is 1+7+2=10, which does not match the numbers. 10. Since the pattern is unclear, let's assume the numbers are increments from 1 to 52 within 172. 11. To find corresponding numbers for 180, calculate the ratio: $$\frac{180}{172} \approx 1.0465$$ 12. Multiply each original number by this ratio: $$1 \times 1.0465 = 1.0465 \approx 1$$ $$27 \times 1.0465 = 28.25 \approx 28$$ $$35 \times 1.0465 = 36.63 \approx 37$$ $$44 \times 1.0465 = 46.05 \approx 46$$ $$52 \times 1.0465 = 54.42 \approx 54$$ 13. So, the numbers corresponding to 180 are approximately 1, 28, 37, 46, 54. 14. This method assumes a proportional scaling from 172 to 180.