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Finding the Fourth Proportional to 408.90, 613.41 and 134.94

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Solution

The fourth proportional to 408.90, 613.41 and 134.94 is: 202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.90 : 613.41 = 134.94 : x
  2. Step 2: Convert to fraction form
    408.90/613.41 = 134.94/x
  3. Step 3: Cross multiply
    408.90x = 613.41 × 134.94
  4. Step 4: Simplify right side
    408.90x = 82,773.55
  5. Step 5: Solve for x
    x = 82,773.55/408.90
  6. Step 6: Final answer
    x = 202.43

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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.