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Finding the Fourth Proportional to 179.09, 268.81 and 110.75

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Solution

The fourth proportional to 179.09, 268.81 and 110.75 is: 166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.09 : 268.81 = 110.75 : x
  2. Step 2: Convert to fraction form
    179.09/268.81 = 110.75/x
  3. Step 3: Cross multiply
    179.09x = 268.81 × 110.75
  4. Step 4: Simplify right side
    179.09x = 29,770.51
  5. Step 5: Solve for x
    x = 29,770.51/179.09
  6. Step 6: Final answer
    x = 166.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.