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Finding the Fourth Proportional to 226.82, 338.20 and 226.52

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Solution

The fourth proportional to 226.82, 338.20 and 226.52 is: 337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.82 : 338.20 = 226.52 : x
  2. Step 2: Convert to fraction form
    226.82/338.20 = 226.52/x
  3. Step 3: Cross multiply
    226.82x = 338.20 × 226.52
  4. Step 4: Simplify right side
    226.82x = 76,609.06
  5. Step 5: Solve for x
    x = 76,609.06/226.82
  6. Step 6: Final answer
    x = 337.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.