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Finding the Fourth Proportional to 194.46, 268.41 and 120.81

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Solution

The fourth proportional to 194.46, 268.41 and 120.81 is: 166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.46 : 268.41 = 120.81 : x
  2. Step 2: Convert to fraction form
    194.46/268.41 = 120.81/x
  3. Step 3: Cross multiply
    194.46x = 268.41 × 120.81
  4. Step 4: Simplify right side
    194.46x = 32,426.61
  5. Step 5: Solve for x
    x = 32,426.61/194.46
  6. Step 6: Final answer
    x = 166.75

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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.