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Finding the Fourth Proportional to 315.31, 434.94 and 231.16

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Solution

The fourth proportional to 315.31, 434.94 and 231.16 is: 318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.31 : 434.94 = 231.16 : x
  2. Step 2: Convert to fraction form
    315.31/434.94 = 231.16/x
  3. Step 3: Cross multiply
    315.31x = 434.94 × 231.16
  4. Step 4: Simplify right side
    315.31x = 100,538.56
  5. Step 5: Solve for x
    x = 100,538.56/315.31
  6. Step 6: Final answer
    x = 318.86

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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.