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Finding the Fourth Proportional to 194.12, 267.92 and 120.48

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Solution

The fourth proportional to 194.12, 267.92 and 120.48 is: 166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.12 : 267.92 = 120.48 : x
  2. Step 2: Convert to fraction form
    194.12/267.92 = 120.48/x
  3. Step 3: Cross multiply
    194.12x = 267.92 × 120.48
  4. Step 4: Simplify right side
    194.12x = 32,279.00
  5. Step 5: Solve for x
    x = 32,279.00/194.12
  6. Step 6: Final answer
    x = 166.28

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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.