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Finding the Fourth Proportional to 180, 269.92 and 102.88

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Solution

The fourth proportional to 180, 269.92 and 102.88 is: 154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180 : 269.92 = 102.88 : x
  2. Step 2: Convert to fraction form
    180/269.92 = 102.88/x
  3. Step 3: Cross multiply
    180x = 269.92 × 102.88
  4. Step 4: Simplify right side
    180x = 27,769.37
  5. Step 5: Solve for x
    x = 27,769.37/180
  6. Step 6: Final answer
    x = 154.27

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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.