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Finding the Fourth Proportional to 148.68, 221.76 and 137.34

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Solution

The fourth proportional to 148.68, 221.76 and 137.34 is: 204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.68 : 221.76 = 137.34 : x
  2. Step 2: Convert to fraction form
    148.68/221.76 = 137.34/x
  3. Step 3: Cross multiply
    148.68x = 221.76 × 137.34
  4. Step 4: Simplify right side
    148.68x = 30,456.52
  5. Step 5: Solve for x
    x = 30,456.52/148.68
  6. Step 6: Final answer
    x = 204.85

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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.