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Finding the Fourth Proportional to 235.31, 321.84 and 231.53

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Solution

The fourth proportional to 235.31, 321.84 and 231.53 is: 316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.31 : 321.84 = 231.53 : x
  2. Step 2: Convert to fraction form
    235.31/321.84 = 231.53/x
  3. Step 3: Cross multiply
    235.31x = 321.84 × 231.53
  4. Step 4: Simplify right side
    235.31x = 74,512.85
  5. Step 5: Solve for x
    x = 74,512.85/235.31
  6. Step 6: Final answer
    x = 316.66

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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.