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Finding the Fourth Proportional to 322.86, 484.07 and 149.43

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Solution

The fourth proportional to 322.86, 484.07 and 149.43 is: 224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.86 : 484.07 = 149.43 : x
  2. Step 2: Convert to fraction form
    322.86/484.07 = 149.43/x
  3. Step 3: Cross multiply
    322.86x = 484.07 × 149.43
  4. Step 4: Simplify right side
    322.86x = 72,333.83
  5. Step 5: Solve for x
    x = 72,333.83/322.86
  6. Step 6: Final answer
    x = 224.04

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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.