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Finding the Fourth Proportional to 272.44, 408.26 and 214.80

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Solution

The fourth proportional to 272.44, 408.26 and 214.80 is: 321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.44 : 408.26 = 214.80 : x
  2. Step 2: Convert to fraction form
    272.44/408.26 = 214.80/x
  3. Step 3: Cross multiply
    272.44x = 408.26 × 214.80
  4. Step 4: Simplify right side
    272.44x = 87,694.25
  5. Step 5: Solve for x
    x = 87,694.25/272.44
  6. Step 6: Final answer
    x = 321.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.