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Finding the Fourth Proportional to 309.11, 463.05 and 178.73

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Solution

The fourth proportional to 309.11, 463.05 and 178.73 is: 267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.11 : 463.05 = 178.73 : x
  2. Step 2: Convert to fraction form
    309.11/463.05 = 178.73/x
  3. Step 3: Cross multiply
    309.11x = 463.05 × 178.73
  4. Step 4: Simplify right side
    309.11x = 82,758.61
  5. Step 5: Solve for x
    x = 82,758.61/309.11
  6. Step 6: Final answer
    x = 267.74

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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.