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Finding the Fourth Proportional to 232.20, 320.25 and 185.57

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Solution

The fourth proportional to 232.20, 320.25 and 185.57 is: 255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.20 : 320.25 = 185.57 : x
  2. Step 2: Convert to fraction form
    232.20/320.25 = 185.57/x
  3. Step 3: Cross multiply
    232.20x = 320.25 × 185.57
  4. Step 4: Simplify right side
    232.20x = 59,429.59
  5. Step 5: Solve for x
    x = 59,429.59/232.20
  6. Step 6: Final answer
    x = 255.94

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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.