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Finding the Fourth Proportional to 217.92, 326.28 and 121.24

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Solution

The fourth proportional to 217.92, 326.28 and 121.24 is: 181.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.92 : 326.28 = 121.24 : x
  2. Step 2: Convert to fraction form
    217.92/326.28 = 121.24/x
  3. Step 3: Cross multiply
    217.92x = 326.28 × 121.24
  4. Step 4: Simplify right side
    217.92x = 39,558.19
  5. Step 5: Solve for x
    x = 39,558.19/217.92
  6. Step 6: Final answer
    x = 181.53

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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.