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Finding the Fourth Proportional to 217.68, 300.40 and 119.44

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Solution

The fourth proportional to 217.68, 300.40 and 119.44 is: 164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.68 : 300.40 = 119.44 : x
  2. Step 2: Convert to fraction form
    217.68/300.40 = 119.44/x
  3. Step 3: Cross multiply
    217.68x = 300.40 × 119.44
  4. Step 4: Simplify right side
    217.68x = 35,879.78
  5. Step 5: Solve for x
    x = 35,879.78/217.68
  6. Step 6: Final answer
    x = 164.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.