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Finding the Fourth Proportional to 442.09, 663.24 and 149.61

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Solution

The fourth proportional to 442.09, 663.24 and 149.61 is: 224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.09 : 663.24 = 149.61 : x
  2. Step 2: Convert to fraction form
    442.09/663.24 = 149.61/x
  3. Step 3: Cross multiply
    442.09x = 663.24 × 149.61
  4. Step 4: Simplify right side
    442.09x = 99,223.27
  5. Step 5: Solve for x
    x = 99,223.27/442.09
  6. Step 6: Final answer
    x = 224.44

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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.