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Finding the Fourth Proportional to 391.32, 587.09 and 147.85

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Solution

The fourth proportional to 391.32, 587.09 and 147.85 is: 221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.32 : 587.09 = 147.85 : x
  2. Step 2: Convert to fraction form
    391.32/587.09 = 147.85/x
  3. Step 3: Cross multiply
    391.32x = 587.09 × 147.85
  4. Step 4: Simplify right side
    391.32x = 86,801.81
  5. Step 5: Solve for x
    x = 86,801.81/391.32
  6. Step 6: Final answer
    x = 221.82

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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.