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Finding the Fourth Proportional to 179.30, 268.85 and 110.85

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Solution

The fourth proportional to 179.30, 268.85 and 110.85 is: 166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.30 : 268.85 = 110.85 : x
  2. Step 2: Convert to fraction form
    179.30/268.85 = 110.85/x
  3. Step 3: Cross multiply
    179.30x = 268.85 × 110.85
  4. Step 4: Simplify right side
    179.30x = 29,801.47
  5. Step 5: Solve for x
    x = 29,801.47/179.30
  6. Step 6: Final answer
    x = 166.21

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