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Finding the Fourth Proportional to 276.86, 381.84 and 211.26

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Solution

The fourth proportional to 276.86, 381.84 and 211.26 is: 291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.86 : 381.84 = 211.26 : x
  2. Step 2: Convert to fraction form
    276.86/381.84 = 211.26/x
  3. Step 3: Cross multiply
    276.86x = 381.84 × 211.26
  4. Step 4: Simplify right side
    276.86x = 80,667.52
  5. Step 5: Solve for x
    x = 80,667.52/276.86
  6. Step 6: Final answer
    x = 291.37

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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.