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Finding the Fourth Proportional to 238.82, 329.01 and 194.90

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Solution

The fourth proportional to 238.82, 329.01 and 194.90 is: 268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.82 : 329.01 = 194.90 : x
  2. Step 2: Convert to fraction form
    238.82/329.01 = 194.90/x
  3. Step 3: Cross multiply
    238.82x = 329.01 × 194.90
  4. Step 4: Simplify right side
    238.82x = 64,124.05
  5. Step 5: Solve for x
    x = 64,124.05/238.82
  6. Step 6: Final answer
    x = 268.50

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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.