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Finding the Fourth Proportional to 138.58, 206.50 and 133.42

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Solution

The fourth proportional to 138.58, 206.50 and 133.42 is: 198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.58 : 206.50 = 133.42 : x
  2. Step 2: Convert to fraction form
    138.58/206.50 = 133.42/x
  3. Step 3: Cross multiply
    138.58x = 206.50 × 133.42
  4. Step 4: Simplify right side
    138.58x = 27,551.23
  5. Step 5: Solve for x
    x = 27,551.23/138.58
  6. Step 6: Final answer
    x = 198.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.