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Finding the Fourth Proportional to 246.70, 340.41 and 163.66

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Solution

The fourth proportional to 246.70, 340.41 and 163.66 is: 225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.70 : 340.41 = 163.66 : x
  2. Step 2: Convert to fraction form
    246.70/340.41 = 163.66/x
  3. Step 3: Cross multiply
    246.70x = 340.41 × 163.66
  4. Step 4: Simplify right side
    246.70x = 55,711.50
  5. Step 5: Solve for x
    x = 55,711.50/246.70
  6. Step 6: Final answer
    x = 225.83

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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.