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Finding the Fourth Proportional to 323.43, 484.49 and 149.86

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Solution

The fourth proportional to 323.43, 484.49 and 149.86 is: 224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.43 : 484.49 = 149.86 : x
  2. Step 2: Convert to fraction form
    323.43/484.49 = 149.86/x
  3. Step 3: Cross multiply
    323.43x = 484.49 × 149.86
  4. Step 4: Simplify right side
    323.43x = 72,605.67
  5. Step 5: Solve for x
    x = 72,605.67/323.43
  6. Step 6: Final answer
    x = 224.49

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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.