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Finding the Fourth Proportional to 247.98, 371.58 and 111

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Solution

The fourth proportional to 247.98, 371.58 and 111 is: 166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.98 : 371.58 = 111 : x
  2. Step 2: Convert to fraction form
    247.98/371.58 = 111/x
  3. Step 3: Cross multiply
    247.98x = 371.58 × 111
  4. Step 4: Simplify right side
    247.98x = 41,245.38
  5. Step 5: Solve for x
    x = 41,245.38/247.98
  6. Step 6: Final answer
    x = 166.33

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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.