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Finding the Fourth Proportional to 252.65, 378.82 and 115.74

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Solution

The fourth proportional to 252.65, 378.82 and 115.74 is: 173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.65 : 378.82 = 115.74 : x
  2. Step 2: Convert to fraction form
    252.65/378.82 = 115.74/x
  3. Step 3: Cross multiply
    252.65x = 378.82 × 115.74
  4. Step 4: Simplify right side
    252.65x = 43,842.92
  5. Step 5: Solve for x
    x = 43,842.92/252.65
  6. Step 6: Final answer
    x = 173.53

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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.