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Finding the Fourth Proportional to 252.87, 348.91 and 193.92

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Solution

The fourth proportional to 252.87, 348.91 and 193.92 is: 267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.87 : 348.91 = 193.92 : x
  2. Step 2: Convert to fraction form
    252.87/348.91 = 193.92/x
  3. Step 3: Cross multiply
    252.87x = 348.91 × 193.92
  4. Step 4: Simplify right side
    252.87x = 67,662.32
  5. Step 5: Solve for x
    x = 67,662.32/252.87
  6. Step 6: Final answer
    x = 267.58

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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.