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Finding the Fourth Proportional to 197.87, 297.05 and 129.15

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Solution

The fourth proportional to 197.87, 297.05 and 129.15 is: 193.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.87 : 297.05 = 129.15 : x
  2. Step 2: Convert to fraction form
    197.87/297.05 = 129.15/x
  3. Step 3: Cross multiply
    197.87x = 297.05 × 129.15
  4. Step 4: Simplify right side
    197.87x = 38,363.36
  5. Step 5: Solve for x
    x = 38,363.36/197.87
  6. Step 6: Final answer
    x = 193.89

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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.