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Finding the Fourth Proportional to 198.08, 272.96 and 184.30

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Solution

The fourth proportional to 198.08, 272.96 and 184.30 is: 253.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.08 : 272.96 = 184.30 : x
  2. Step 2: Convert to fraction form
    198.08/272.96 = 184.30/x
  3. Step 3: Cross multiply
    198.08x = 272.96 × 184.30
  4. Step 4: Simplify right side
    198.08x = 50,306.53
  5. Step 5: Solve for x
    x = 50,306.53/198.08
  6. Step 6: Final answer
    x = 253.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.