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Finding the Fourth Proportional to 322.10, 481.92 and 177.92

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Solution

The fourth proportional to 322.10, 481.92 and 177.92 is: 266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.10 : 481.92 = 177.92 : x
  2. Step 2: Convert to fraction form
    322.10/481.92 = 177.92/x
  3. Step 3: Cross multiply
    322.10x = 481.92 × 177.92
  4. Step 4: Simplify right side
    322.10x = 85,743.21
  5. Step 5: Solve for x
    x = 85,743.21/322.10
  6. Step 6: Final answer
    x = 266.20

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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.