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Finding the Fourth Proportional to 194.69, 268.54 and 120.96

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Solution

The fourth proportional to 194.69, 268.54 and 120.96 is: 166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.69 : 268.54 = 120.96 : x
  2. Step 2: Convert to fraction form
    194.69/268.54 = 120.96/x
  3. Step 3: Cross multiply
    194.69x = 268.54 × 120.96
  4. Step 4: Simplify right side
    194.69x = 32,482.30
  5. Step 5: Solve for x
    x = 32,482.30/194.69
  6. Step 6: Final answer
    x = 166.84

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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.