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Finding the Fourth Proportional to 238.64, 329.20 and 168.70

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Solution

The fourth proportional to 238.64, 329.20 and 168.70 is: 232.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.64 : 329.20 = 168.70 : x
  2. Step 2: Convert to fraction form
    238.64/329.20 = 168.70/x
  3. Step 3: Cross multiply
    238.64x = 329.20 × 168.70
  4. Step 4: Simplify right side
    238.64x = 55,535.20
  5. Step 5: Solve for x
    x = 55,535.20/238.64
  6. Step 6: Final answer
    x = 232.72

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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.