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Finding the Fourth Proportional to 462.86, 694.19 and 138.15

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Solution

The fourth proportional to 462.86, 694.19 and 138.15 is: 207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.86 : 694.19 = 138.15 : x
  2. Step 2: Convert to fraction form
    462.86/694.19 = 138.15/x
  3. Step 3: Cross multiply
    462.86x = 694.19 × 138.15
  4. Step 4: Simplify right side
    462.86x = 95,902.69
  5. Step 5: Solve for x
    x = 95,902.69/462.86
  6. Step 6: Final answer
    x = 207.20

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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.