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Finding the Fourth Proportional to 238.41, 329.15 and 159.79

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Solution

The fourth proportional to 238.41, 329.15 and 159.79 is: 220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.41 : 329.15 = 159.79 : x
  2. Step 2: Convert to fraction form
    238.41/329.15 = 159.79/x
  3. Step 3: Cross multiply
    238.41x = 329.15 × 159.79
  4. Step 4: Simplify right side
    238.41x = 52,594.88
  5. Step 5: Solve for x
    x = 52,594.88/238.41
  6. Step 6: Final answer
    x = 220.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.