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Finding the Fourth Proportional to 179.24, 269.04 and 110.93

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Solution

The fourth proportional to 179.24, 269.04 and 110.93 is: 166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.24 : 269.04 = 110.93 : x
  2. Step 2: Convert to fraction form
    179.24/269.04 = 110.93/x
  3. Step 3: Cross multiply
    179.24x = 269.04 × 110.93
  4. Step 4: Simplify right side
    179.24x = 29,844.61
  5. Step 5: Solve for x
    x = 29,844.61/179.24
  6. Step 6: Final answer
    x = 166.51

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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.