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Finding the Fourth Proportional to 226.14, 311.97 and 158.85

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Solution

The fourth proportional to 226.14, 311.97 and 158.85 is: 219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.14 : 311.97 = 158.85 : x
  2. Step 2: Convert to fraction form
    226.14/311.97 = 158.85/x
  3. Step 3: Cross multiply
    226.14x = 311.97 × 158.85
  4. Step 4: Simplify right side
    226.14x = 49,556.43
  5. Step 5: Solve for x
    x = 49,556.43/226.14
  6. Step 6: Final answer
    x = 219.14

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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.