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Finding the Fourth Proportional to 179.34, 269.34 and 111

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Solution

The fourth proportional to 179.34, 269.34 and 111 is: 166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.34 : 269.34 = 111 : x
  2. Step 2: Convert to fraction form
    179.34/269.34 = 111/x
  3. Step 3: Cross multiply
    179.34x = 269.34 × 111
  4. Step 4: Simplify right side
    179.34x = 29,896.74
  5. Step 5: Solve for x
    x = 29,896.74/179.34
  6. Step 6: Final answer
    x = 166.70

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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.