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Finding the Fourth Proportional to 269.39, 406.06 and 246.31

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Solution

The fourth proportional to 269.39, 406.06 and 246.31 is: 371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.39 : 406.06 = 246.31 : x
  2. Step 2: Convert to fraction form
    269.39/406.06 = 246.31/x
  3. Step 3: Cross multiply
    269.39x = 406.06 × 246.31
  4. Step 4: Simplify right side
    269.39x = 100,015.01
  5. Step 5: Solve for x
    x = 100,015.01/269.39
  6. Step 6: Final answer
    x = 371.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.