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Finding the Fourth Proportional to 217.44, 298.26 and 213.92

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Solution

The fourth proportional to 217.44, 298.26 and 213.92 is: 293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.44 : 298.26 = 213.92 : x
  2. Step 2: Convert to fraction form
    217.44/298.26 = 213.92/x
  3. Step 3: Cross multiply
    217.44x = 298.26 × 213.92
  4. Step 4: Simplify right side
    217.44x = 63,803.78
  5. Step 5: Solve for x
    x = 63,803.78/217.44
  6. Step 6: Final answer
    x = 293.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.