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Finding the Fourth Proportional to 238.52, 329.14 and 161

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Solution

The fourth proportional to 238.52, 329.14 and 161 is: 222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.52 : 329.14 = 161 : x
  2. Step 2: Convert to fraction form
    238.52/329.14 = 161/x
  3. Step 3: Cross multiply
    238.52x = 329.14 × 161
  4. Step 4: Simplify right side
    238.52x = 52,991.54
  5. Step 5: Solve for x
    x = 52,991.54/238.52
  6. Step 6: Final answer
    x = 222.17

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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.