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Finding the Fourth Proportional to 197.18, 295.86 and 81.59

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Solution

The fourth proportional to 197.18, 295.86 and 81.59 is: 122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.18 : 295.86 = 81.59 : x
  2. Step 2: Convert to fraction form
    197.18/295.86 = 81.59/x
  3. Step 3: Cross multiply
    197.18x = 295.86 × 81.59
  4. Step 4: Simplify right side
    197.18x = 24,137.74
  5. Step 5: Solve for x
    x = 24,137.74/197.18
  6. Step 6: Final answer
    x = 122.42

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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.