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Finding the Fourth Proportional to 306.92, 460.38 and 178.60

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Solution

The fourth proportional to 306.92, 460.38 and 178.60 is: 267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.92 : 460.38 = 178.60 : x
  2. Step 2: Convert to fraction form
    306.92/460.38 = 178.60/x
  3. Step 3: Cross multiply
    306.92x = 460.38 × 178.60
  4. Step 4: Simplify right side
    306.92x = 82,223.87
  5. Step 5: Solve for x
    x = 82,223.87/306.92
  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.