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Finding the Fourth Proportional to 198.17, 297.24 and 53.88

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Solution

The fourth proportional to 198.17, 297.24 and 53.88 is: 80.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.17 : 297.24 = 53.88 : x
  2. Step 2: Convert to fraction form
    198.17/297.24 = 53.88/x
  3. Step 3: Cross multiply
    198.17x = 297.24 × 53.88
  4. Step 4: Simplify right side
    198.17x = 16,015.29
  5. Step 5: Solve for x
    x = 16,015.29/198.17
  6. Step 6: Final answer
    x = 80.82

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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.