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Finding the Fourth Proportional to 198.21, 297.30 and 76.44

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Solution

The fourth proportional to 198.21, 297.30 and 76.44 is: 114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.21 : 297.30 = 76.44 : x
  2. Step 2: Convert to fraction form
    198.21/297.30 = 76.44/x
  3. Step 3: Cross multiply
    198.21x = 297.30 × 76.44
  4. Step 4: Simplify right side
    198.21x = 22,725.61
  5. Step 5: Solve for x
    x = 22,725.61/198.21
  6. Step 6: Final answer
    x = 114.65

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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.