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Finding the Fourth Proportional to 226.92, 339.92 and 178.14

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Solution

The fourth proportional to 226.92, 339.92 and 178.14 is: 266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.92 : 339.92 = 178.14 : x
  2. Step 2: Convert to fraction form
    226.92/339.92 = 178.14/x
  3. Step 3: Cross multiply
    226.92x = 339.92 × 178.14
  4. Step 4: Simplify right side
    226.92x = 60,553.35
  5. Step 5: Solve for x
    x = 60,553.35/226.92
  6. Step 6: Final answer
    x = 266.85

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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.