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Finding the Fourth Proportional to 205.88, 306.61 and 198.70

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Solution

The fourth proportional to 205.88, 306.61 and 198.70 is: 295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 306.61 = 198.70 : x
  2. Step 2: Convert to fraction form
    205.88/306.61 = 198.70/x
  3. Step 3: Cross multiply
    205.88x = 306.61 × 198.70
  4. Step 4: Simplify right side
    205.88x = 60,921.87
  5. Step 5: Solve for x
    x = 60,921.87/205.88
  6. Step 6: Final answer
    x = 295.92

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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.