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Finding the Fourth Proportional to 273.20, 377.07 and 179.96

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Solution

The fourth proportional to 273.20, 377.07 and 179.96 is: 248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.20 : 377.07 = 179.96 : x
  2. Step 2: Convert to fraction form
    273.20/377.07 = 179.96/x
  3. Step 3: Cross multiply
    273.20x = 377.07 × 179.96
  4. Step 4: Simplify right side
    273.20x = 67,857.52
  5. Step 5: Solve for x
    x = 67,857.52/273.20
  6. Step 6: Final answer
    x = 248.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.