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Finding the Fourth Proportional to 233.28, 324.09 and 231.17

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Solution

The fourth proportional to 233.28, 324.09 and 231.17 is: 321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.28 : 324.09 = 231.17 : x
  2. Step 2: Convert to fraction form
    233.28/324.09 = 231.17/x
  3. Step 3: Cross multiply
    233.28x = 324.09 × 231.17
  4. Step 4: Simplify right side
    233.28x = 74,918.26
  5. Step 5: Solve for x
    x = 74,918.26/233.28
  6. Step 6: Final answer
    x = 321.15

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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.