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Finding the Fourth Proportional to 197.31, 295.85 and 111.87

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Solution

The fourth proportional to 197.31, 295.85 and 111.87 is: 167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.31 : 295.85 = 111.87 : x
  2. Step 2: Convert to fraction form
    197.31/295.85 = 111.87/x
  3. Step 3: Cross multiply
    197.31x = 295.85 × 111.87
  4. Step 4: Simplify right side
    197.31x = 33,096.18
  5. Step 5: Solve for x
    x = 33,096.18/197.31
  6. Step 6: Final answer
    x = 167.74

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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.