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Finding the Fourth Proportional to 273.70, 377.28 and 208.09

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Solution

The fourth proportional to 273.70, 377.28 and 208.09 is: 286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.70 : 377.28 = 208.09 : x
  2. Step 2: Convert to fraction form
    273.70/377.28 = 208.09/x
  3. Step 3: Cross multiply
    273.70x = 377.28 × 208.09
  4. Step 4: Simplify right side
    273.70x = 78,508.20
  5. Step 5: Solve for x
    x = 78,508.20/273.70
  6. Step 6: Final answer
    x = 286.84

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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.