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Finding the Fourth Proportional to 148.77, 221.86 and 147.41

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Solution

The fourth proportional to 148.77, 221.86 and 147.41 is: 219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.77 : 221.86 = 147.41 : x
  2. Step 2: Convert to fraction form
    148.77/221.86 = 147.41/x
  3. Step 3: Cross multiply
    148.77x = 221.86 × 147.41
  4. Step 4: Simplify right side
    148.77x = 32,704.38
  5. Step 5: Solve for x
    x = 32,704.38/148.77
  6. Step 6: Final answer
    x = 219.83

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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.