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Finding the Fourth Proportional to 234.88, 323.92 and 215.24

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Solution

The fourth proportional to 234.88, 323.92 and 215.24 is: 296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.88 : 323.92 = 215.24 : x
  2. Step 2: Convert to fraction form
    234.88/323.92 = 215.24/x
  3. Step 3: Cross multiply
    234.88x = 323.92 × 215.24
  4. Step 4: Simplify right side
    234.88x = 69,720.54
  5. Step 5: Solve for x
    x = 69,720.54/234.88
  6. Step 6: Final answer
    x = 296.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.