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Finding the Fourth Proportional to 272.87, 408.85 and 191.57

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Solution

The fourth proportional to 272.87, 408.85 and 191.57 is: 287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.87 : 408.85 = 191.57 : x
  2. Step 2: Convert to fraction form
    272.87/408.85 = 191.57/x
  3. Step 3: Cross multiply
    272.87x = 408.85 × 191.57
  4. Step 4: Simplify right side
    272.87x = 78,320.87
  5. Step 5: Solve for x
    x = 78,320.87/272.87
  6. Step 6: Final answer
    x = 287.03

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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.