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Finding the Fourth Proportional to 194.61, 268.61 and 120.89

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Solution

The fourth proportional to 194.61, 268.61 and 120.89 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.61 : 268.61 = 120.89 : x
  2. Step 2: Convert to fraction form
    194.61/268.61 = 120.89/x
  3. Step 3: Cross multiply
    194.61x = 268.61 × 120.89
  4. Step 4: Simplify right side
    194.61x = 32,470.32
  5. Step 5: Solve for x
    x = 32,470.32/194.61
  6. Step 6: Final answer
    x = 166.85

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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.