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Finding the Fourth Proportional to 273.70, 377.37 and 234.82

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Solution

The fourth proportional to 273.70, 377.37 and 234.82 is: 323.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.70 : 377.37 = 234.82 : x
  2. Step 2: Convert to fraction form
    273.70/377.37 = 234.82/x
  3. Step 3: Cross multiply
    273.70x = 377.37 × 234.82
  4. Step 4: Simplify right side
    273.70x = 88,614.02
  5. Step 5: Solve for x
    x = 88,614.02/273.70
  6. Step 6: Final answer
    x = 323.76

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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.