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Finding the Fourth Proportional to 276.56, 381.77 and 177.11

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Solution

The fourth proportional to 276.56, 381.77 and 177.11 is: 244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.56 : 381.77 = 177.11 : x
  2. Step 2: Convert to fraction form
    276.56/381.77 = 177.11/x
  3. Step 3: Cross multiply
    276.56x = 381.77 × 177.11
  4. Step 4: Simplify right side
    276.56x = 67,615.28
  5. Step 5: Solve for x
    x = 67,615.28/276.56
  6. Step 6: Final answer
    x = 244.49

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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.