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Finding the Fourth Proportional to 226.46, 338.83 and 149.61

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Solution

The fourth proportional to 226.46, 338.83 and 149.61 is: 223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.46 : 338.83 = 149.61 : x
  2. Step 2: Convert to fraction form
    226.46/338.83 = 149.61/x
  3. Step 3: Cross multiply
    226.46x = 338.83 × 149.61
  4. Step 4: Simplify right side
    226.46x = 50,694.09
  5. Step 5: Solve for x
    x = 50,694.09/226.46
  6. Step 6: Final answer
    x = 223.85

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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.