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Finding the Fourth Proportional to 272.57, 408.69 and 133.67

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Solution

The fourth proportional to 272.57, 408.69 and 133.67 is: 200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.57 : 408.69 = 133.67 : x
  2. Step 2: Convert to fraction form
    272.57/408.69 = 133.67/x
  3. Step 3: Cross multiply
    272.57x = 408.69 × 133.67
  4. Step 4: Simplify right side
    272.57x = 54,627.55
  5. Step 5: Solve for x
    x = 54,627.55/272.57
  6. Step 6: Final answer
    x = 200.42

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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.