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Finding the Fourth Proportional to 246.46, 369.67 and 84.26

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Solution

The fourth proportional to 246.46, 369.67 and 84.26 is: 126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.46 : 369.67 = 84.26 : x
  2. Step 2: Convert to fraction form
    246.46/369.67 = 84.26/x
  3. Step 3: Cross multiply
    246.46x = 369.67 × 84.26
  4. Step 4: Simplify right side
    246.46x = 31,147.68
  5. Step 5: Solve for x
    x = 31,147.68/246.46
  6. Step 6: Final answer
    x = 126.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.