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Finding the Fourth Proportional to 148.86, 221.82 and 132.71

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Solution

The fourth proportional to 148.86, 221.82 and 132.71 is: 197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.86 : 221.82 = 132.71 : x
  2. Step 2: Convert to fraction form
    148.86/221.82 = 132.71/x
  3. Step 3: Cross multiply
    148.86x = 221.82 × 132.71
  4. Step 4: Simplify right side
    148.86x = 29,437.73
  5. Step 5: Solve for x
    x = 29,437.73/148.86
  6. Step 6: Final answer
    x = 197.75

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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.