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Finding the Fourth Proportional to 194.94, 268.79 and 163.96

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Solution

The fourth proportional to 194.94, 268.79 and 163.96 is: 226.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.94 : 268.79 = 163.96 : x
  2. Step 2: Convert to fraction form
    194.94/268.79 = 163.96/x
  3. Step 3: Cross multiply
    194.94x = 268.79 × 163.96
  4. Step 4: Simplify right side
    194.94x = 44,069.32
  5. Step 5: Solve for x
    x = 44,069.32/194.94
  6. Step 6: Final answer
    x = 226.07

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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.