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Finding the Fourth Proportional to 272.25, 408.06 and 213.93

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Solution

The fourth proportional to 272.25, 408.06 and 213.93 is: 320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.25 : 408.06 = 213.93 : x
  2. Step 2: Convert to fraction form
    272.25/408.06 = 213.93/x
  3. Step 3: Cross multiply
    272.25x = 408.06 × 213.93
  4. Step 4: Simplify right side
    272.25x = 87,296.28
  5. Step 5: Solve for x
    x = 87,296.28/272.25
  6. Step 6: Final answer
    x = 320.65

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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.