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Finding the Fourth Proportional to 276.05, 380.72 and 177.95

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Solution

The fourth proportional to 276.05, 380.72 and 177.95 is: 245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.05 : 380.72 = 177.95 : x
  2. Step 2: Convert to fraction form
    276.05/380.72 = 177.95/x
  3. Step 3: Cross multiply
    276.05x = 380.72 × 177.95
  4. Step 4: Simplify right side
    276.05x = 67,750.52
  5. Step 5: Solve for x
    x = 67,750.52/276.05
  6. Step 6: Final answer
    x = 245.43

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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.