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Finding the Fourth Proportional to 273.28, 376.74 and 206.86

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Solution

The fourth proportional to 273.28, 376.74 and 206.86 is: 285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.28 : 376.74 = 206.86 : x
  2. Step 2: Convert to fraction form
    273.28/376.74 = 206.86/x
  3. Step 3: Cross multiply
    273.28x = 376.74 × 206.86
  4. Step 4: Simplify right side
    273.28x = 77,932.44
  5. Step 5: Solve for x
    x = 77,932.44/273.28
  6. Step 6: Final answer
    x = 285.17

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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.