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Finding the Fourth Proportional to 238.33, 329.21 and 205.57

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Solution

The fourth proportional to 238.33, 329.21 and 205.57 is: 283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.33 : 329.21 = 205.57 : x
  2. Step 2: Convert to fraction form
    238.33/329.21 = 205.57/x
  3. Step 3: Cross multiply
    238.33x = 329.21 × 205.57
  4. Step 4: Simplify right side
    238.33x = 67,675.70
  5. Step 5: Solve for x
    x = 67,675.70/238.33
  6. Step 6: Final answer
    x = 283.96

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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.