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Finding the Fourth Proportional to 217.91, 300.71 and 119.66

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Solution

The fourth proportional to 217.91, 300.71 and 119.66 is: 165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.91 : 300.71 = 119.66 : x
  2. Step 2: Convert to fraction form
    217.91/300.71 = 119.66/x
  3. Step 3: Cross multiply
    217.91x = 300.71 × 119.66
  4. Step 4: Simplify right side
    217.91x = 35,982.96
  5. Step 5: Solve for x
    x = 35,982.96/217.91
  6. Step 6: Final answer
    x = 165.13

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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.