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Finding the Fourth Proportional to 148.30, 220.97 and 132.14

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Solution

The fourth proportional to 148.30, 220.97 and 132.14 is: 196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.30 : 220.97 = 132.14 : x
  2. Step 2: Convert to fraction form
    148.30/220.97 = 132.14/x
  3. Step 3: Cross multiply
    148.30x = 220.97 × 132.14
  4. Step 4: Simplify right side
    148.30x = 29,198.62
  5. Step 5: Solve for x
    x = 29,198.62/148.30
  6. Step 6: Final answer
    x = 196.88

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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.