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Finding the Fourth Proportional to 391.62, 587.08 and 147.98

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Solution

The fourth proportional to 391.62, 587.08 and 147.98 is: 221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.62 : 587.08 = 147.98 : x
  2. Step 2: Convert to fraction form
    391.62/587.08 = 147.98/x
  3. Step 3: Cross multiply
    391.62x = 587.08 × 147.98
  4. Step 4: Simplify right side
    391.62x = 86,876.10
  5. Step 5: Solve for x
    x = 86,876.10/391.62
  6. Step 6: Final answer
    x = 221.84

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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.