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Finding the Fourth Proportional to 391.84, 587.32 and 160.68

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Solution

The fourth proportional to 391.84, 587.32 and 160.68 is: 240.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.84 : 587.32 = 160.68 : x
  2. Step 2: Convert to fraction form
    391.84/587.32 = 160.68/x
  3. Step 3: Cross multiply
    391.84x = 587.32 × 160.68
  4. Step 4: Simplify right side
    391.84x = 94,370.58
  5. Step 5: Solve for x
    x = 94,370.58/391.84
  6. Step 6: Final answer
    x = 240.84

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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.