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Finding the Fourth Proportional to 217.54, 326.31 and 213.49

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Solution

The fourth proportional to 217.54, 326.31 and 213.49 is: 320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.54 : 326.31 = 213.49 : x
  2. Step 2: Convert to fraction form
    217.54/326.31 = 213.49/x
  3. Step 3: Cross multiply
    217.54x = 326.31 × 213.49
  4. Step 4: Simplify right side
    217.54x = 69,663.92
  5. Step 5: Solve for x
    x = 69,663.92/217.54
  6. Step 6: Final answer
    x = 320.24

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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.