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Finding the Fourth Proportional to 391.87, 588.19 and 186.58

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Solution

The fourth proportional to 391.87, 588.19 and 186.58 is: 280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.87 : 588.19 = 186.58 : x
  2. Step 2: Convert to fraction form
    391.87/588.19 = 186.58/x
  3. Step 3: Cross multiply
    391.87x = 588.19 × 186.58
  4. Step 4: Simplify right side
    391.87x = 109,744.02
  5. Step 5: Solve for x
    x = 109,744.02/391.87
  6. Step 6: Final answer
    x = 280.05

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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.