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Finding the Fourth Proportional to 238.28, 356.67 and 161.06

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Solution

The fourth proportional to 238.28, 356.67 and 161.06 is: 241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.28 : 356.67 = 161.06 : x
  2. Step 2: Convert to fraction form
    238.28/356.67 = 161.06/x
  3. Step 3: Cross multiply
    238.28x = 356.67 × 161.06
  4. Step 4: Simplify right side
    238.28x = 57,443.49
  5. Step 5: Solve for x
    x = 57,443.49/238.28
  6. Step 6: Final answer
    x = 241.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.