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Finding the Fourth Proportional to 194.38, 268.32 and 120.76

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Solution

The fourth proportional to 194.38, 268.32 and 120.76 is: 166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.38 : 268.32 = 120.76 : x
  2. Step 2: Convert to fraction form
    194.38/268.32 = 120.76/x
  3. Step 3: Cross multiply
    194.38x = 268.32 × 120.76
  4. Step 4: Simplify right side
    194.38x = 32,402.32
  5. Step 5: Solve for x
    x = 32,402.32/194.38
  6. Step 6: Final answer
    x = 166.70

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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.