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Finding the Fourth Proportional to 179.40, 268.80 and 111

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Solution

The fourth proportional to 179.40, 268.80 and 111 is: 166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.40 : 268.80 = 111 : x
  2. Step 2: Convert to fraction form
    179.40/268.80 = 111/x
  3. Step 3: Cross multiply
    179.40x = 268.80 × 111
  4. Step 4: Simplify right side
    179.40x = 29,836.80
  5. Step 5: Solve for x
    x = 29,836.80/179.40
  6. Step 6: Final answer
    x = 166.31

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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.