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Finding the Fourth Proportional to 198.05, 295.65 and 182.66

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Solution

The fourth proportional to 198.05, 295.65 and 182.66 is: 272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.05 : 295.65 = 182.66 : x
  2. Step 2: Convert to fraction form
    198.05/295.65 = 182.66/x
  3. Step 3: Cross multiply
    198.05x = 295.65 × 182.66
  4. Step 4: Simplify right side
    198.05x = 54,001.95
  5. Step 5: Solve for x
    x = 54,001.95/198.05
  6. Step 6: Final answer
    x = 272.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.