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Finding the Fourth Proportional to 408.15, 611.89 and 164.44

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Solution

The fourth proportional to 408.15, 611.89 and 164.44 is: 246.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.15 : 611.89 = 164.44 : x
  2. Step 2: Convert to fraction form
    408.15/611.89 = 164.44/x
  3. Step 3: Cross multiply
    408.15x = 611.89 × 164.44
  4. Step 4: Simplify right side
    408.15x = 100,617.87
  5. Step 5: Solve for x
    x = 100,617.87/408.15
  6. Step 6: Final answer
    x = 246.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.