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Finding the Fourth Proportional to 462.65, 693.81 and 137.97

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Solution

The fourth proportional to 462.65, 693.81 and 137.97 is: 206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.65 : 693.81 = 137.97 : x
  2. Step 2: Convert to fraction form
    462.65/693.81 = 137.97/x
  3. Step 3: Cross multiply
    462.65x = 693.81 × 137.97
  4. Step 4: Simplify right side
    462.65x = 95,724.97
  5. Step 5: Solve for x
    x = 95,724.97/462.65
  6. Step 6: Final answer
    x = 206.91

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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.