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Finding the Fourth Proportional to 238.88, 329.58 and 161.30

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Solution

The fourth proportional to 238.88, 329.58 and 161.30 is: 222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.88 : 329.58 = 161.30 : x
  2. Step 2: Convert to fraction form
    238.88/329.58 = 161.30/x
  3. Step 3: Cross multiply
    238.88x = 329.58 × 161.30
  4. Step 4: Simplify right side
    238.88x = 53,161.25
  5. Step 5: Solve for x
    x = 53,161.25/238.88
  6. Step 6: Final answer
    x = 222.54

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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.