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Finding the Fourth Proportional to 194.08, 268.02 and 120.42

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Solution

The fourth proportional to 194.08, 268.02 and 120.42 is: 166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.08 : 268.02 = 120.42 : x
  2. Step 2: Convert to fraction form
    194.08/268.02 = 120.42/x
  3. Step 3: Cross multiply
    194.08x = 268.02 × 120.42
  4. Step 4: Simplify right side
    194.08x = 32,274.97
  5. Step 5: Solve for x
    x = 32,274.97/194.08
  6. Step 6: Final answer
    x = 166.30

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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.