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Finding the Fourth Proportional to 456.45, 684.17 and 178.73

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Solution

The fourth proportional to 456.45, 684.17 and 178.73 is: 267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.45 : 684.17 = 178.73 : x
  2. Step 2: Convert to fraction form
    456.45/684.17 = 178.73/x
  3. Step 3: Cross multiply
    456.45x = 684.17 × 178.73
  4. Step 4: Simplify right side
    456.45x = 122,281.70
  5. Step 5: Solve for x
    x = 122,281.70/456.45
  6. Step 6: Final answer
    x = 267.90

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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.