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Finding the Fourth Proportional to 221.68, 332.16 and 149.56

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Solution

The fourth proportional to 221.68, 332.16 and 149.56 is: 224.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.68 : 332.16 = 149.56 : x
  2. Step 2: Convert to fraction form
    221.68/332.16 = 149.56/x
  3. Step 3: Cross multiply
    221.68x = 332.16 × 149.56
  4. Step 4: Simplify right side
    221.68x = 49,677.85
  5. Step 5: Solve for x
    x = 49,677.85/221.68
  6. Step 6: Final answer
    x = 224.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.