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Finding the Fourth Proportional to 252.97, 348.36 and 216.11

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Solution

The fourth proportional to 252.97, 348.36 and 216.11 is: 297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.97 : 348.36 = 216.11 : x
  2. Step 2: Convert to fraction form
    252.97/348.36 = 216.11/x
  3. Step 3: Cross multiply
    252.97x = 348.36 × 216.11
  4. Step 4: Simplify right side
    252.97x = 75,284.08
  5. Step 5: Solve for x
    x = 75,284.08/252.97
  6. Step 6: Final answer
    x = 297.60

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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.