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Finding the Fourth Proportional to 252.53, 378.46 and 165.83

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Solution

The fourth proportional to 252.53, 378.46 and 165.83 is: 248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.53 : 378.46 = 165.83 : x
  2. Step 2: Convert to fraction form
    252.53/378.46 = 165.83/x
  3. Step 3: Cross multiply
    252.53x = 378.46 × 165.83
  4. Step 4: Simplify right side
    252.53x = 62,757.30
  5. Step 5: Solve for x
    x = 62,757.30/252.53
  6. Step 6: Final answer
    x = 248.51

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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.