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Finding the Fourth Proportional to 198.56, 297.76 and 111.80

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Solution

The fourth proportional to 198.56, 297.76 and 111.80 is: 167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.56 : 297.76 = 111.80 : x
  2. Step 2: Convert to fraction form
    198.56/297.76 = 111.80/x
  3. Step 3: Cross multiply
    198.56x = 297.76 × 111.80
  4. Step 4: Simplify right side
    198.56x = 33,289.57
  5. Step 5: Solve for x
    x = 33,289.57/198.56
  6. Step 6: Final answer
    x = 167.65

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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.