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Finding the Fourth Proportional to 268.14, 369.90 and 180.84

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Solution

The fourth proportional to 268.14, 369.90 and 180.84 is: 249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.14 : 369.90 = 180.84 : x
  2. Step 2: Convert to fraction form
    268.14/369.90 = 180.84/x
  3. Step 3: Cross multiply
    268.14x = 369.90 × 180.84
  4. Step 4: Simplify right side
    268.14x = 66,892.74
  5. Step 5: Solve for x
    x = 66,892.74/268.14
  6. Step 6: Final answer
    x = 249.47

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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.