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Finding the Fourth Proportional to 252.97, 348.73 and 217.85

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Solution

The fourth proportional to 252.97, 348.73 and 217.85 is: 300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.97 : 348.73 = 217.85 : x
  2. Step 2: Convert to fraction form
    252.97/348.73 = 217.85/x
  3. Step 3: Cross multiply
    252.97x = 348.73 × 217.85
  4. Step 4: Simplify right side
    252.97x = 75,968.54
  5. Step 5: Solve for x
    x = 75,968.54/252.97
  6. Step 6: Final answer
    x = 300.31

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Why These Related Problems?

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