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Finding the Fourth Proportional to 198.39, 296.97 and 129.77

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Solution

The fourth proportional to 198.39, 296.97 and 129.77 is: 194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.39 : 296.97 = 129.77 : x
  2. Step 2: Convert to fraction form
    198.39/296.97 = 129.77/x
  3. Step 3: Cross multiply
    198.39x = 296.97 × 129.77
  4. Step 4: Simplify right side
    198.39x = 38,537.80
  5. Step 5: Solve for x
    x = 38,537.80/198.39
  6. Step 6: Final answer
    x = 194.25

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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.