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Finding the Fourth Proportional to 194.36, 267.83 and 165.20

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Solution

The fourth proportional to 194.36, 267.83 and 165.20 is: 227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.36 : 267.83 = 165.20 : x
  2. Step 2: Convert to fraction form
    194.36/267.83 = 165.20/x
  3. Step 3: Cross multiply
    194.36x = 267.83 × 165.20
  4. Step 4: Simplify right side
    194.36x = 44,245.52
  5. Step 5: Solve for x
    x = 44,245.52/194.36
  6. Step 6: Final answer
    x = 227.65

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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.