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Finding the Fourth Proportional to 252.78, 378.96 and 131.08

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Solution

The fourth proportional to 252.78, 378.96 and 131.08 is: 196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.78 : 378.96 = 131.08 : x
  2. Step 2: Convert to fraction form
    252.78/378.96 = 131.08/x
  3. Step 3: Cross multiply
    252.78x = 378.96 × 131.08
  4. Step 4: Simplify right side
    252.78x = 49,673.13
  5. Step 5: Solve for x
    x = 49,673.13/252.78
  6. Step 6: Final answer
    x = 196.51

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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.