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Finding the Fourth Proportional to 217.96, 327.12 and 192.52

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Solution

The fourth proportional to 217.96, 327.12 and 192.52 is: 288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.96 : 327.12 = 192.52 : x
  2. Step 2: Convert to fraction form
    217.96/327.12 = 192.52/x
  3. Step 3: Cross multiply
    217.96x = 327.12 × 192.52
  4. Step 4: Simplify right side
    217.96x = 62,977.14
  5. Step 5: Solve for x
    x = 62,977.14/217.96
  6. Step 6: Final answer
    x = 288.94

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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.