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Finding the Fourth Proportional to 272.44, 376.14 and 194.68

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Solution

The fourth proportional to 272.44, 376.14 and 194.68 is: 268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.44 : 376.14 = 194.68 : x
  2. Step 2: Convert to fraction form
    272.44/376.14 = 194.68/x
  3. Step 3: Cross multiply
    272.44x = 376.14 × 194.68
  4. Step 4: Simplify right side
    272.44x = 73,226.94
  5. Step 5: Solve for x
    x = 73,226.94/272.44
  6. Step 6: Final answer
    x = 268.78

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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.