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Finding the Fourth Proportional to 394.20, 591 and 134.05

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Solution

The fourth proportional to 394.20, 591 and 134.05 is: 200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.20 : 591 = 134.05 : x
  2. Step 2: Convert to fraction form
    394.20/591 = 134.05/x
  3. Step 3: Cross multiply
    394.20x = 591 × 134.05
  4. Step 4: Simplify right side
    394.20x = 79,223.55
  5. Step 5: Solve for x
    x = 79,223.55/394.20
  6. Step 6: Final answer
    x = 200.97

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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.