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Finding the Fourth Proportional to 246.19, 369.31 and 109.25

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Solution

The fourth proportional to 246.19, 369.31 and 109.25 is: 163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.19 : 369.31 = 109.25 : x
  2. Step 2: Convert to fraction form
    246.19/369.31 = 109.25/x
  3. Step 3: Cross multiply
    246.19x = 369.31 × 109.25
  4. Step 4: Simplify right side
    246.19x = 40,346.59
  5. Step 5: Solve for x
    x = 40,346.59/246.19
  6. Step 6: Final answer
    x = 163.88

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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.