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Finding the Fourth Proportional to 226.72, 340.24 and 82.44

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Solution

The fourth proportional to 226.72, 340.24 and 82.44 is: 123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.72 : 340.24 = 82.44 : x
  2. Step 2: Convert to fraction form
    226.72/340.24 = 82.44/x
  3. Step 3: Cross multiply
    226.72x = 340.24 × 82.44
  4. Step 4: Simplify right side
    226.72x = 28,049.39
  5. Step 5: Solve for x
    x = 28,049.39/226.72
  6. Step 6: Final answer
    x = 123.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.