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Finding the Fourth Proportional to 273.67, 377.82 and 211.37

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Solution

The fourth proportional to 273.67, 377.82 and 211.37 is: 291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.67 : 377.82 = 211.37 : x
  2. Step 2: Convert to fraction form
    273.67/377.82 = 211.37/x
  3. Step 3: Cross multiply
    273.67x = 377.82 × 211.37
  4. Step 4: Simplify right side
    273.67x = 79,857.92
  5. Step 5: Solve for x
    x = 79,857.92/273.67
  6. Step 6: Final answer
    x = 291.81

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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.