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Finding the Fourth Proportional to 197.65, 297.05 and 132.87

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Solution

The fourth proportional to 197.65, 297.05 and 132.87 is: 199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.65 : 297.05 = 132.87 : x
  2. Step 2: Convert to fraction form
    197.65/297.05 = 132.87/x
  3. Step 3: Cross multiply
    197.65x = 297.05 × 132.87
  4. Step 4: Simplify right side
    197.65x = 39,468.37
  5. Step 5: Solve for x
    x = 39,468.37/197.65
  6. Step 6: Final answer
    x = 199.69

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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.