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Finding the Fourth Proportional to 138.16, 206.82 and 133.12

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Solution

The fourth proportional to 138.16, 206.82 and 133.12 is: 199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.16 : 206.82 = 133.12 : x
  2. Step 2: Convert to fraction form
    138.16/206.82 = 133.12/x
  3. Step 3: Cross multiply
    138.16x = 206.82 × 133.12
  4. Step 4: Simplify right side
    138.16x = 27,531.88
  5. Step 5: Solve for x
    x = 27,531.88/138.16
  6. Step 6: Final answer
    x = 199.28

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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.