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Finding the Fourth Proportional to 238.30, 330.54 and 231.98

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Solution

The fourth proportional to 238.30, 330.54 and 231.98 is: 321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.30 : 330.54 = 231.98 : x
  2. Step 2: Convert to fraction form
    238.30/330.54 = 231.98/x
  3. Step 3: Cross multiply
    238.30x = 330.54 × 231.98
  4. Step 4: Simplify right side
    238.30x = 76,677.68
  5. Step 5: Solve for x
    x = 76,677.68/238.30
  6. Step 6: Final answer
    x = 321.77

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.