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Finding the Fourth Proportional to 238.41, 326.61 and 229.53

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Solution

The fourth proportional to 238.41, 326.61 and 229.53 is: 314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.41 : 326.61 = 229.53 : x
  2. Step 2: Convert to fraction form
    238.41/326.61 = 229.53/x
  3. Step 3: Cross multiply
    238.41x = 326.61 × 229.53
  4. Step 4: Simplify right side
    238.41x = 74,965.73
  5. Step 5: Solve for x
    x = 74,965.73/238.41
  6. Step 6: Final answer
    x = 314.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.