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Finding the Fourth Proportional to 354.43, 531.92 and 149.16

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Solution

The fourth proportional to 354.43, 531.92 and 149.16 is: 223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.43 : 531.92 = 149.16 : x
  2. Step 2: Convert to fraction form
    354.43/531.92 = 149.16/x
  3. Step 3: Cross multiply
    354.43x = 531.92 × 149.16
  4. Step 4: Simplify right side
    354.43x = 79,341.19
  5. Step 5: Solve for x
    x = 79,341.19/354.43
  6. Step 6: Final answer
    x = 223.86

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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.