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Finding the Fourth Proportional to 198.06, 297.20 and 76.42

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Solution

The fourth proportional to 198.06, 297.20 and 76.42 is: 114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.06 : 297.20 = 76.42 : x
  2. Step 2: Convert to fraction form
    198.06/297.20 = 76.42/x
  3. Step 3: Cross multiply
    198.06x = 297.20 × 76.42
  4. Step 4: Simplify right side
    198.06x = 22,712.02
  5. Step 5: Solve for x
    x = 22,712.02/198.06
  6. Step 6: Final answer
    x = 114.67

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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.