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Finding the Fourth Proportional to 238.77, 329.18 and 197.31

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Solution

The fourth proportional to 238.77, 329.18 and 197.31 is: 272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.77 : 329.18 = 197.31 : x
  2. Step 2: Convert to fraction form
    238.77/329.18 = 197.31/x
  3. Step 3: Cross multiply
    238.77x = 329.18 × 197.31
  4. Step 4: Simplify right side
    238.77x = 64,949.52
  5. Step 5: Solve for x
    x = 64,949.52/238.77
  6. Step 6: Final answer
    x = 272.02

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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.