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Finding the Fourth Proportional to 226.74, 340.05 and 118.47

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Solution

The fourth proportional to 226.74, 340.05 and 118.47 is: 177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.74 : 340.05 = 118.47 : x
  2. Step 2: Convert to fraction form
    226.74/340.05 = 118.47/x
  3. Step 3: Cross multiply
    226.74x = 340.05 × 118.47
  4. Step 4: Simplify right side
    226.74x = 40,286.78
  5. Step 5: Solve for x
    x = 40,286.78/226.74
  6. Step 6: Final answer
    x = 177.68

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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.