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Finding the Fourth Proportional to 238.96, 329.86 and 202.31

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Solution

The fourth proportional to 238.96, 329.86 and 202.31 is: 279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.96 : 329.86 = 202.31 : x
  2. Step 2: Convert to fraction form
    238.96/329.86 = 202.31/x
  3. Step 3: Cross multiply
    238.96x = 329.86 × 202.31
  4. Step 4: Simplify right side
    238.96x = 66,732.33
  5. Step 5: Solve for x
    x = 66,732.33/238.96
  6. Step 6: Final answer
    x = 279.27

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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.