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Finding the Fourth Proportional to 463.14, 694.71 and 138.47

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Solution

The fourth proportional to 463.14, 694.71 and 138.47 is: 207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.14 : 694.71 = 138.47 : x
  2. Step 2: Convert to fraction form
    463.14/694.71 = 138.47/x
  3. Step 3: Cross multiply
    463.14x = 694.71 × 138.47
  4. Step 4: Simplify right side
    463.14x = 96,193.02
  5. Step 5: Solve for x
    x = 96,193.02/463.14
  6. Step 6: Final answer
    x = 207.70

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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.