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Finding the Fourth Proportional to 217.92, 326.77 and 114.95

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Solution

The fourth proportional to 217.92, 326.77 and 114.95 is: 172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.92 : 326.77 = 114.95 : x
  2. Step 2: Convert to fraction form
    217.92/326.77 = 114.95/x
  3. Step 3: Cross multiply
    217.92x = 326.77 × 114.95
  4. Step 4: Simplify right side
    217.92x = 37,562.74
  5. Step 5: Solve for x
    x = 37,562.74/217.92
  6. Step 6: Final answer
    x = 172.37

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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.