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Finding the Fourth Proportional to 246.31, 340.07 and 163.53

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Solution

The fourth proportional to 246.31, 340.07 and 163.53 is: 225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.31 : 340.07 = 163.53 : x
  2. Step 2: Convert to fraction form
    246.31/340.07 = 163.53/x
  3. Step 3: Cross multiply
    246.31x = 340.07 × 163.53
  4. Step 4: Simplify right side
    246.31x = 55,611.65
  5. Step 5: Solve for x
    x = 55,611.65/246.31
  6. Step 6: Final answer
    x = 225.78

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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.