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Finding the Fourth Proportional to 246.45, 340.38 and 163.94

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Solution

The fourth proportional to 246.45, 340.38 and 163.94 is: 226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.45 : 340.38 = 163.94 : x
  2. Step 2: Convert to fraction form
    246.45/340.38 = 163.94/x
  3. Step 3: Cross multiply
    246.45x = 340.38 × 163.94
  4. Step 4: Simplify right side
    246.45x = 55,800.20
  5. Step 5: Solve for x
    x = 55,800.20/246.45
  6. Step 6: Final answer
    x = 226.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.