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Finding the Fourth Proportional to 217.98, 300.82 and 119.75

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Solution

The fourth proportional to 217.98, 300.82 and 119.75 is: 165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.98 : 300.82 = 119.75 : x
  2. Step 2: Convert to fraction form
    217.98/300.82 = 119.75/x
  3. Step 3: Cross multiply
    217.98x = 300.82 × 119.75
  4. Step 4: Simplify right side
    217.98x = 36,022.97
  5. Step 5: Solve for x
    x = 36,022.97/217.98
  6. Step 6: Final answer
    x = 165.26

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Why These Related Problems?

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