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Finding the Fourth Proportional to 273.22, 377.37 and 195.94

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Solution

The fourth proportional to 273.22, 377.37 and 195.94 is: 270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.22 : 377.37 = 195.94 : x
  2. Step 2: Convert to fraction form
    273.22/377.37 = 195.94/x
  3. Step 3: Cross multiply
    273.22x = 377.37 × 195.94
  4. Step 4: Simplify right side
    273.22x = 73,941.88
  5. Step 5: Solve for x
    x = 73,941.88/273.22
  6. Step 6: Final answer
    x = 270.63

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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.