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Finding the Fourth Proportional to 272.68, 375.78 and 194.92

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Solution

The fourth proportional to 272.68, 375.78 and 194.92 is: 268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.68 : 375.78 = 194.92 : x
  2. Step 2: Convert to fraction form
    272.68/375.78 = 194.92/x
  3. Step 3: Cross multiply
    272.68x = 375.78 × 194.92
  4. Step 4: Simplify right side
    272.68x = 73,247.04
  5. Step 5: Solve for x
    x = 73,247.04/272.68
  6. Step 6: Final answer
    x = 268.62

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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.