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Finding the Fourth Proportional to 391.34, 586.68 and 185.80

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Solution

The fourth proportional to 391.34, 586.68 and 185.80 is: 278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.34 : 586.68 = 185.80 : x
  2. Step 2: Convert to fraction form
    391.34/586.68 = 185.80/x
  3. Step 3: Cross multiply
    391.34x = 586.68 × 185.80
  4. Step 4: Simplify right side
    391.34x = 109,005.14
  5. Step 5: Solve for x
    x = 109,005.14/391.34
  6. Step 6: Final answer
    x = 278.54

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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.