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Finding the Fourth Proportional to 232.62, 320.16 and 185.84

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Solution

The fourth proportional to 232.62, 320.16 and 185.84 is: 255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.62 : 320.16 = 185.84 : x
  2. Step 2: Convert to fraction form
    232.62/320.16 = 185.84/x
  3. Step 3: Cross multiply
    232.62x = 320.16 × 185.84
  4. Step 4: Simplify right side
    232.62x = 59,498.53
  5. Step 5: Solve for x
    x = 59,498.53/232.62
  6. Step 6: Final answer
    x = 255.78

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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.