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Finding the Fourth Proportional to 246.76, 340.56 and 163.96

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Solution

The fourth proportional to 246.76, 340.56 and 163.96 is: 226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.76 : 340.56 = 163.96 : x
  2. Step 2: Convert to fraction form
    246.76/340.56 = 163.96/x
  3. Step 3: Cross multiply
    246.76x = 340.56 × 163.96
  4. Step 4: Simplify right side
    246.76x = 55,838.22
  5. Step 5: Solve for x
    x = 55,838.22/246.76
  6. Step 6: Final answer
    x = 226.29

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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.