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Finding the Fourth Proportional to 322.68, 484.20 and 149.52

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Solution

The fourth proportional to 322.68, 484.20 and 149.52 is: 224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.68 : 484.20 = 149.52 : x
  2. Step 2: Convert to fraction form
    322.68/484.20 = 149.52/x
  3. Step 3: Cross multiply
    322.68x = 484.20 × 149.52
  4. Step 4: Simplify right side
    322.68x = 72,397.58
  5. Step 5: Solve for x
    x = 72,397.58/322.68
  6. Step 6: Final answer
    x = 224.36

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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.