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Finding the Fourth Proportional to 194.52, 268.26 and 120.78

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Solution

The fourth proportional to 194.52, 268.26 and 120.78 is: 166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.52 : 268.26 = 120.78 : x
  2. Step 2: Convert to fraction form
    194.52/268.26 = 120.78/x
  3. Step 3: Cross multiply
    194.52x = 268.26 × 120.78
  4. Step 4: Simplify right side
    194.52x = 32,400.44
  5. Step 5: Solve for x
    x = 32,400.44/194.52
  6. Step 6: Final answer
    x = 166.57

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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.