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Finding the Fourth Proportional to 238.72, 329.28 and 161.04

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Solution

The fourth proportional to 238.72, 329.28 and 161.04 is: 222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.72 : 329.28 = 161.04 : x
  2. Step 2: Convert to fraction form
    238.72/329.28 = 161.04/x
  3. Step 3: Cross multiply
    238.72x = 329.28 × 161.04
  4. Step 4: Simplify right side
    238.72x = 53,027.25
  5. Step 5: Solve for x
    x = 53,027.25/238.72
  6. Step 6: Final answer
    x = 222.13

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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.