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Finding the Fourth Proportional to 179.75, 268.92 and 111.17

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Solution

The fourth proportional to 179.75, 268.92 and 111.17 is: 166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.75 : 268.92 = 111.17 : x
  2. Step 2: Convert to fraction form
    179.75/268.92 = 111.17/x
  3. Step 3: Cross multiply
    179.75x = 268.92 × 111.17
  4. Step 4: Simplify right side
    179.75x = 29,896.51
  5. Step 5: Solve for x
    x = 29,896.51/179.75
  6. Step 6: Final answer
    x = 166.32

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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.