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Finding the Fourth Proportional to 198.94, 298.43 and 54.66

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Solution

The fourth proportional to 198.94, 298.43 and 54.66 is: 82.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.94 : 298.43 = 54.66 : x
  2. Step 2: Convert to fraction form
    198.94/298.43 = 54.66/x
  3. Step 3: Cross multiply
    198.94x = 298.43 × 54.66
  4. Step 4: Simplify right side
    198.94x = 16,311.91
  5. Step 5: Solve for x
    x = 16,311.91/198.94
  6. Step 6: Final answer
    x = 82.00

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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.