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Finding the Fourth Proportional to 276.09, 381.11 and 177.81

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Solution

The fourth proportional to 276.09, 381.11 and 177.81 is: 245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.09 : 381.11 = 177.81 : x
  2. Step 2: Convert to fraction form
    276.09/381.11 = 177.81/x
  3. Step 3: Cross multiply
    276.09x = 381.11 × 177.81
  4. Step 4: Simplify right side
    276.09x = 67,764.28
  5. Step 5: Solve for x
    x = 67,764.28/276.09
  6. Step 6: Final answer
    x = 245.44

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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.