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Finding the Fourth Proportional to 462.62, 693.66 and 137.90

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Solution

The fourth proportional to 462.62, 693.66 and 137.90 is: 206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.62 : 693.66 = 137.90 : x
  2. Step 2: Convert to fraction form
    462.62/693.66 = 137.90/x
  3. Step 3: Cross multiply
    462.62x = 693.66 × 137.90
  4. Step 4: Simplify right side
    462.62x = 95,655.71
  5. Step 5: Solve for x
    x = 95,655.71/462.62
  6. Step 6: Final answer
    x = 206.77

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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.