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Finding the Fourth Proportional to 252.96, 348.42 and 217.92

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Solution

The fourth proportional to 252.96, 348.42 and 217.92 is: 300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.96 : 348.42 = 217.92 : x
  2. Step 2: Convert to fraction form
    252.96/348.42 = 217.92/x
  3. Step 3: Cross multiply
    252.96x = 348.42 × 217.92
  4. Step 4: Simplify right side
    252.96x = 75,927.69
  5. Step 5: Solve for x
    x = 75,927.69/252.96
  6. Step 6: Final answer
    x = 300.16

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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.