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Finding the Fourth Proportional to 194.16, 267.78 and 165

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Solution

The fourth proportional to 194.16, 267.78 and 165 is: 227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.16 : 267.78 = 165 : x
  2. Step 2: Convert to fraction form
    194.16/267.78 = 165/x
  3. Step 3: Cross multiply
    194.16x = 267.78 × 165
  4. Step 4: Simplify right side
    194.16x = 44,183.70
  5. Step 5: Solve for x
    x = 44,183.70/194.16
  6. Step 6: Final answer
    x = 227.56

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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.