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Finding the Fourth Proportional to 238.75, 329.47 and 140.47

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Solution

The fourth proportional to 238.75, 329.47 and 140.47 is: 193.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.75 : 329.47 = 140.47 : x
  2. Step 2: Convert to fraction form
    238.75/329.47 = 140.47/x
  3. Step 3: Cross multiply
    238.75x = 329.47 × 140.47
  4. Step 4: Simplify right side
    238.75x = 46,279.48
  5. Step 5: Solve for x
    x = 46,279.48/238.75
  6. Step 6: Final answer
    x = 193.84

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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.