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Finding the Fourth Proportional to 238.50, 329.16 and 161.04

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Solution

The fourth proportional to 238.50, 329.16 and 161.04 is: 222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.50 : 329.16 = 161.04 : x
  2. Step 2: Convert to fraction form
    238.50/329.16 = 161.04/x
  3. Step 3: Cross multiply
    238.50x = 329.16 × 161.04
  4. Step 4: Simplify right side
    238.50x = 53,007.93
  5. Step 5: Solve for x
    x = 53,007.93/238.50
  6. Step 6: Final answer
    x = 222.26

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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.