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Finding the Fourth Proportional to 247.74, 371.37 and 110.80

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Solution

The fourth proportional to 247.74, 371.37 and 110.80 is: 166.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.74 : 371.37 = 110.80 : x
  2. Step 2: Convert to fraction form
    247.74/371.37 = 110.80/x
  3. Step 3: Cross multiply
    247.74x = 371.37 × 110.80
  4. Step 4: Simplify right side
    247.74x = 41,147.80
  5. Step 5: Solve for x
    x = 41,147.80/247.74
  6. Step 6: Final answer
    x = 166.09

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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.