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Finding the Fourth Proportional to 252.18, 378.20 and 76.44

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Solution

The fourth proportional to 252.18, 378.20 and 76.44 is: 114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.18 : 378.20 = 76.44 : x
  2. Step 2: Convert to fraction form
    252.18/378.20 = 76.44/x
  3. Step 3: Cross multiply
    252.18x = 378.20 × 76.44
  4. Step 4: Simplify right side
    252.18x = 28,909.23
  5. Step 5: Solve for x
    x = 28,909.23/252.18
  6. Step 6: Final answer
    x = 114.64

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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.