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Finding the Fourth Proportional to 247.26, 370.96 and 76.26

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Solution

The fourth proportional to 247.26, 370.96 and 76.26 is: 114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.26 : 370.96 = 76.26 : x
  2. Step 2: Convert to fraction form
    247.26/370.96 = 76.26/x
  3. Step 3: Cross multiply
    247.26x = 370.96 × 76.26
  4. Step 4: Simplify right side
    247.26x = 28,289.41
  5. Step 5: Solve for x
    x = 28,289.41/247.26
  6. Step 6: Final answer
    x = 114.41

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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.