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Finding the Fourth Proportional to 226.56, 338.28 and 224.25

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Solution

The fourth proportional to 226.56, 338.28 and 224.25 is: 334.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.56 : 338.28 = 224.25 : x
  2. Step 2: Convert to fraction form
    226.56/338.28 = 224.25/x
  3. Step 3: Cross multiply
    226.56x = 338.28 × 224.25
  4. Step 4: Simplify right side
    226.56x = 75,859.29
  5. Step 5: Solve for x
    x = 75,859.29/226.56
  6. Step 6: Final answer
    x = 334.83

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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.