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Finding the Fourth Proportional to 267.96, 369.65 and 194.15

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Solution

The fourth proportional to 267.96, 369.65 and 194.15 is: 267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.96 : 369.65 = 194.15 : x
  2. Step 2: Convert to fraction form
    267.96/369.65 = 194.15/x
  3. Step 3: Cross multiply
    267.96x = 369.65 × 194.15
  4. Step 4: Simplify right side
    267.96x = 71,767.55
  5. Step 5: Solve for x
    x = 71,767.55/267.96
  6. Step 6: Final answer
    x = 267.83

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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.