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Finding the Fourth Proportional to 391.67, 587.29 and 160.49

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Solution

The fourth proportional to 391.67, 587.29 and 160.49 is: 240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.67 : 587.29 = 160.49 : x
  2. Step 2: Convert to fraction form
    391.67/587.29 = 160.49/x
  3. Step 3: Cross multiply
    391.67x = 587.29 × 160.49
  4. Step 4: Simplify right side
    391.67x = 94,250.83
  5. Step 5: Solve for x
    x = 94,250.83/391.67
  6. Step 6: Final answer
    x = 240.64

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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.