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Finding the Fourth Proportional to 226.14, 311.97 and 132.86

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Solution

The fourth proportional to 226.14, 311.97 and 132.86 is: 183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.14 : 311.97 = 132.86 : x
  2. Step 2: Convert to fraction form
    226.14/311.97 = 132.86/x
  3. Step 3: Cross multiply
    226.14x = 311.97 × 132.86
  4. Step 4: Simplify right side
    226.14x = 41,446.44
  5. Step 5: Solve for x
    x = 41,446.44/226.14
  6. Step 6: Final answer
    x = 183.28

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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.