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Finding the Fourth Proportional to 138.62, 208.20 and 138.62

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Solution

The fourth proportional to 138.62, 208.20 and 138.62 is: 208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.62 : 208.20 = 138.62 : x
  2. Step 2: Convert to fraction form
    138.62/208.20 = 138.62/x
  3. Step 3: Cross multiply
    138.62x = 208.20 × 138.62
  4. Step 4: Simplify right side
    138.62x = 28,860.68
  5. Step 5: Solve for x
    x = 28,860.68/138.62
  6. Step 6: Final answer
    x = 208.20

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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.