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Finding the Fourth Proportional to 198.32, 297.37 and 61.33

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Solution

The fourth proportional to 198.32, 297.37 and 61.33 is: 91.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.32 : 297.37 = 61.33 : x
  2. Step 2: Convert to fraction form
    198.32/297.37 = 61.33/x
  3. Step 3: Cross multiply
    198.32x = 297.37 × 61.33
  4. Step 4: Simplify right side
    198.32x = 18,236.81
  5. Step 5: Solve for x
    x = 18,236.81/198.32
  6. Step 6: Final answer
    x = 91.96

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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.