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Finding the Fourth Proportional to 217.61, 326.52 and 166.22

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Solution

The fourth proportional to 217.61, 326.52 and 166.22 is: 249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.61 : 326.52 = 166.22 : x
  2. Step 2: Convert to fraction form
    217.61/326.52 = 166.22/x
  3. Step 3: Cross multiply
    217.61x = 326.52 × 166.22
  4. Step 4: Simplify right side
    217.61x = 54,272.52
  5. Step 5: Solve for x
    x = 54,272.52/217.61
  6. Step 6: Final answer
    x = 249.41

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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.