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Finding the Fourth Proportional to 198.67, 297.74 and 82.98

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Solution

The fourth proportional to 198.67, 297.74 and 82.98 is: 124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.67 : 297.74 = 82.98 : x
  2. Step 2: Convert to fraction form
    198.67/297.74 = 82.98/x
  3. Step 3: Cross multiply
    198.67x = 297.74 × 82.98
  4. Step 4: Simplify right side
    198.67x = 24,706.05
  5. Step 5: Solve for x
    x = 24,706.05/198.67
  6. Step 6: Final answer
    x = 124.36

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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.