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Finding the Fourth Proportional to 232.28, 320.17 and 192.86

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Solution

The fourth proportional to 232.28, 320.17 and 192.86 is: 265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.28 : 320.17 = 192.86 : x
  2. Step 2: Convert to fraction form
    232.28/320.17 = 192.86/x
  3. Step 3: Cross multiply
    232.28x = 320.17 × 192.86
  4. Step 4: Simplify right side
    232.28x = 61,749.27
  5. Step 5: Solve for x
    x = 61,749.27/232.28
  6. Step 6: Final answer
    x = 265.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.