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Finding the Fourth Proportional to 360.42, 540.57 and 129.27

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Solution

The fourth proportional to 360.42, 540.57 and 129.27 is: 193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.42 : 540.57 = 129.27 : x
  2. Step 2: Convert to fraction form
    360.42/540.57 = 129.27/x
  3. Step 3: Cross multiply
    360.42x = 540.57 × 129.27
  4. Step 4: Simplify right side
    360.42x = 69,879.48
  5. Step 5: Solve for x
    x = 69,879.48/360.42
  6. Step 6: Final answer
    x = 193.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.