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Finding the Fourth Proportional to 272.90, 408.72 and 213.68

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Solution

The fourth proportional to 272.90, 408.72 and 213.68 is: 320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.90 : 408.72 = 213.68 : x
  2. Step 2: Convert to fraction form
    272.90/408.72 = 213.68/x
  3. Step 3: Cross multiply
    272.90x = 408.72 × 213.68
  4. Step 4: Simplify right side
    272.90x = 87,335.29
  5. Step 5: Solve for x
    x = 87,335.29/272.90
  6. Step 6: Final answer
    x = 320.03

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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.