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Finding the Fourth Proportional to 391.54, 587.39 and 160.43

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Solution

The fourth proportional to 391.54, 587.39 and 160.43 is: 240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.54 : 587.39 = 160.43 : x
  2. Step 2: Convert to fraction form
    391.54/587.39 = 160.43/x
  3. Step 3: Cross multiply
    391.54x = 587.39 × 160.43
  4. Step 4: Simplify right side
    391.54x = 94,233.61
  5. Step 5: Solve for x
    x = 94,233.61/391.54
  6. Step 6: Final answer
    x = 240.68

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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.