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Finding the Fourth Proportional to 266.53, 399.15 and 129.13

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Solution

The fourth proportional to 266.53, 399.15 and 129.13 is: 193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.53 : 399.15 = 129.13 : x
  2. Step 2: Convert to fraction form
    266.53/399.15 = 129.13/x
  3. Step 3: Cross multiply
    266.53x = 399.15 × 129.13
  4. Step 4: Simplify right side
    266.53x = 51,542.24
  5. Step 5: Solve for x
    x = 51,542.24/266.53
  6. Step 6: Final answer
    x = 193.38

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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.