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Finding the Fourth Proportional to 226.17, 311.92 and 156.11

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Solution

The fourth proportional to 226.17, 311.92 and 156.11 is: 215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.17 : 311.92 = 156.11 : x
  2. Step 2: Convert to fraction form
    226.17/311.92 = 156.11/x
  3. Step 3: Cross multiply
    226.17x = 311.92 × 156.11
  4. Step 4: Simplify right side
    226.17x = 48,691.88
  5. Step 5: Solve for x
    x = 48,691.88/226.17
  6. Step 6: Final answer
    x = 215.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.