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Finding the Fourth Proportional to 462.74, 693.86 and 138.02

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Solution

The fourth proportional to 462.74, 693.86 and 138.02 is: 206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.74 : 693.86 = 138.02 : x
  2. Step 2: Convert to fraction form
    462.74/693.86 = 138.02/x
  3. Step 3: Cross multiply
    462.74x = 693.86 × 138.02
  4. Step 4: Simplify right side
    462.74x = 95,762.40
  5. Step 5: Solve for x
    x = 95,762.40/462.74
  6. Step 6: Final answer
    x = 206.95

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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.