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Finding the Fourth Proportional to 252.90, 378.69 and 165.97

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Solution

The fourth proportional to 252.90, 378.69 and 165.97 is: 248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.90 : 378.69 = 165.97 : x
  2. Step 2: Convert to fraction form
    252.90/378.69 = 165.97/x
  3. Step 3: Cross multiply
    252.90x = 378.69 × 165.97
  4. Step 4: Simplify right side
    252.90x = 62,853.03
  5. Step 5: Solve for x
    x = 62,853.03/252.90
  6. Step 6: Final answer
    x = 248.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.