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Finding the Fourth Proportional to 462.69, 693.95 and 137.97

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Solution

The fourth proportional to 462.69, 693.95 and 137.97 is: 206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.69 : 693.95 = 137.97 : x
  2. Step 2: Convert to fraction form
    462.69/693.95 = 137.97/x
  3. Step 3: Cross multiply
    462.69x = 693.95 × 137.97
  4. Step 4: Simplify right side
    462.69x = 95,743.59
  5. Step 5: Solve for x
    x = 95,743.59/462.69
  6. Step 6: Final answer
    x = 206.93

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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.