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Finding the Fourth Proportional to 197.78, 295.97 and 116.18

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Solution

The fourth proportional to 197.78, 295.97 and 116.18 is: 173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.78 : 295.97 = 116.18 : x
  2. Step 2: Convert to fraction form
    197.78/295.97 = 116.18/x
  3. Step 3: Cross multiply
    197.78x = 295.97 × 116.18
  4. Step 4: Simplify right side
    197.78x = 34,383.73
  5. Step 5: Solve for x
    x = 34,383.73/197.78
  6. Step 6: Final answer
    x = 173.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.