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Finding the Fourth Proportional to 391.85, 587.33 and 186.13

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Solution

The fourth proportional to 391.85, 587.33 and 186.13 is: 278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.85 : 587.33 = 186.13 : x
  2. Step 2: Convert to fraction form
    391.85/587.33 = 186.13/x
  3. Step 3: Cross multiply
    391.85x = 587.33 × 186.13
  4. Step 4: Simplify right side
    391.85x = 109,319.73
  5. Step 5: Solve for x
    x = 109,319.73/391.85
  6. Step 6: Final answer
    x = 278.98

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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.