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Finding the Fourth Proportional to 270.80, 406.17 and 179.56

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Solution

The fourth proportional to 270.80, 406.17 and 179.56 is: 269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.80 : 406.17 = 179.56 : x
  2. Step 2: Convert to fraction form
    270.80/406.17 = 179.56/x
  3. Step 3: Cross multiply
    270.80x = 406.17 × 179.56
  4. Step 4: Simplify right side
    270.80x = 72,930.87
  5. Step 5: Solve for x
    x = 72,930.87/270.80
  6. Step 6: Final answer
    x = 269.32

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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.