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Finding the Fourth Proportional to 226.85, 340.22 and 82.58

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Solution

The fourth proportional to 226.85, 340.22 and 82.58 is: 123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.85 : 340.22 = 82.58 : x
  2. Step 2: Convert to fraction form
    226.85/340.22 = 82.58/x
  3. Step 3: Cross multiply
    226.85x = 340.22 × 82.58
  4. Step 4: Simplify right side
    226.85x = 28,093.87
  5. Step 5: Solve for x
    x = 28,093.87/226.85
  6. Step 6: Final answer
    x = 123.85

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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.