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Finding the Fourth Proportional to 462.29, 693.47 and 133.24

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Solution

The fourth proportional to 462.29, 693.47 and 133.24 is: 199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.29 : 693.47 = 133.24 : x
  2. Step 2: Convert to fraction form
    462.29/693.47 = 133.24/x
  3. Step 3: Cross multiply
    462.29x = 693.47 × 133.24
  4. Step 4: Simplify right side
    462.29x = 92,399.14
  5. Step 5: Solve for x
    x = 92,399.14/462.29
  6. Step 6: Final answer
    x = 199.87

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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.