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Finding the Fourth Proportional to 238.78, 329.26 and 164.94

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Solution

The fourth proportional to 238.78, 329.26 and 164.94 is: 227.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.78 : 329.26 = 164.94 : x
  2. Step 2: Convert to fraction form
    238.78/329.26 = 164.94/x
  3. Step 3: Cross multiply
    238.78x = 329.26 × 164.94
  4. Step 4: Simplify right side
    238.78x = 54,308.14
  5. Step 5: Solve for x
    x = 54,308.14/238.78
  6. Step 6: Final answer
    x = 227.44

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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.