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Finding the Fourth Proportional to 276.78, 381.87 and 160.26

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Solution

The fourth proportional to 276.78, 381.87 and 160.26 is: 221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.78 : 381.87 = 160.26 : x
  2. Step 2: Convert to fraction form
    276.78/381.87 = 160.26/x
  3. Step 3: Cross multiply
    276.78x = 381.87 × 160.26
  4. Step 4: Simplify right side
    276.78x = 61,198.49
  5. Step 5: Solve for x
    x = 61,198.49/276.78
  6. Step 6: Final answer
    x = 221.11

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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.