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Finding the Fourth Proportional to 198.30, 272.14 and 179.83

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Solution

The fourth proportional to 198.30, 272.14 and 179.83 is: 246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.30 : 272.14 = 179.83 : x
  2. Step 2: Convert to fraction form
    198.30/272.14 = 179.83/x
  3. Step 3: Cross multiply
    198.30x = 272.14 × 179.83
  4. Step 4: Simplify right side
    198.30x = 48,938.94
  5. Step 5: Solve for x
    x = 48,938.94/198.30
  6. Step 6: Final answer
    x = 246.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.