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Finding the Fourth Proportional to 219.92, 329.18 and 161.22

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Solution

The fourth proportional to 219.92, 329.18 and 161.22 is: 241.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.92 : 329.18 = 161.22 : x
  2. Step 2: Convert to fraction form
    219.92/329.18 = 161.22/x
  3. Step 3: Cross multiply
    219.92x = 329.18 × 161.22
  4. Step 4: Simplify right side
    219.92x = 53,069.59
  5. Step 5: Solve for x
    x = 53,069.59/219.92
  6. Step 6: Final answer
    x = 241.32

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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.