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Finding the Fourth Proportional to 226.72, 340.13 and 82.45

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Solution

The fourth proportional to 226.72, 340.13 and 82.45 is: 123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.72 : 340.13 = 82.45 : x
  2. Step 2: Convert to fraction form
    226.72/340.13 = 82.45/x
  3. Step 3: Cross multiply
    226.72x = 340.13 × 82.45
  4. Step 4: Simplify right side
    226.72x = 28,043.72
  5. Step 5: Solve for x
    x = 28,043.72/226.72
  6. Step 6: Final answer
    x = 123.69

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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.