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Finding the Fourth Proportional to 462.65, 693.85 and 137.94

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Solution

The fourth proportional to 462.65, 693.85 and 137.94 is: 206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.65 : 693.85 = 137.94 : x
  2. Step 2: Convert to fraction form
    462.65/693.85 = 137.94/x
  3. Step 3: Cross multiply
    462.65x = 693.85 × 137.94
  4. Step 4: Simplify right side
    462.65x = 95,708.98
  5. Step 5: Solve for x
    x = 95,708.98/462.65
  6. Step 6: Final answer
    x = 206.87

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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.