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Finding the Fourth Proportional to 252.76, 378.81 and 115.78

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Solution

The fourth proportional to 252.76, 378.81 and 115.78 is: 173.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.76 : 378.81 = 115.78 : x
  2. Step 2: Convert to fraction form
    252.76/378.81 = 115.78/x
  3. Step 3: Cross multiply
    252.76x = 378.81 × 115.78
  4. Step 4: Simplify right side
    252.76x = 43,858.62
  5. Step 5: Solve for x
    x = 43,858.62/252.76
  6. Step 6: Final answer
    x = 173.52

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