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Finding the Fourth Proportional to 283.97, 391.84 and 173.61

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Solution

The fourth proportional to 283.97, 391.84 and 173.61 is: 239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.97 : 391.84 = 173.61 : x
  2. Step 2: Convert to fraction form
    283.97/391.84 = 173.61/x
  3. Step 3: Cross multiply
    283.97x = 391.84 × 173.61
  4. Step 4: Simplify right side
    283.97x = 68,026.91
  5. Step 5: Solve for x
    x = 68,026.91/283.97
  6. Step 6: Final answer
    x = 239.55

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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.