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Finding the Fourth Proportional to 150.10, 224.15 and 129.86

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Solution

The fourth proportional to 150.10, 224.15 and 129.86 is: 193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.10 : 224.15 = 129.86 : x
  2. Step 2: Convert to fraction form
    150.10/224.15 = 129.86/x
  3. Step 3: Cross multiply
    150.10x = 224.15 × 129.86
  4. Step 4: Simplify right side
    150.10x = 29,107.47
  5. Step 5: Solve for x
    x = 29,107.47/150.10
  6. Step 6: Final answer
    x = 193.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.