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Finding the Fourth Proportional to 268.43, 369.92 and 180.95

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Solution

The fourth proportional to 268.43, 369.92 and 180.95 is: 249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.43 : 369.92 = 180.95 : x
  2. Step 2: Convert to fraction form
    268.43/369.92 = 180.95/x
  3. Step 3: Cross multiply
    268.43x = 369.92 × 180.95
  4. Step 4: Simplify right side
    268.43x = 66,936.12
  5. Step 5: Solve for x
    x = 66,936.12/268.43
  6. Step 6: Final answer
    x = 249.36

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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.