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Finding the Fourth Proportional to 272.68, 408.44 and 207.76

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Solution

The fourth proportional to 272.68, 408.44 and 207.76 is: 311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.68 : 408.44 = 207.76 : x
  2. Step 2: Convert to fraction form
    272.68/408.44 = 207.76/x
  3. Step 3: Cross multiply
    272.68x = 408.44 × 207.76
  4. Step 4: Simplify right side
    272.68x = 84,857.49
  5. Step 5: Solve for x
    x = 84,857.49/272.68
  6. Step 6: Final answer
    x = 311.20

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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.