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Finding the Fourth Proportional to 179.62, 269.12 and 150.80

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Solution

The fourth proportional to 179.62, 269.12 and 150.80 is: 225.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.62 : 269.12 = 150.80 : x
  2. Step 2: Convert to fraction form
    179.62/269.12 = 150.80/x
  3. Step 3: Cross multiply
    179.62x = 269.12 × 150.80
  4. Step 4: Simplify right side
    179.62x = 40,582.33
  5. Step 5: Solve for x
    x = 40,582.33/179.62
  6. Step 6: Final answer
    x = 225.94

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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.