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Finding the Fourth Proportional to 273.85, 378.44 and 208.24

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Solution

The fourth proportional to 273.85, 378.44 and 208.24 is: 287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.85 : 378.44 = 208.24 : x
  2. Step 2: Convert to fraction form
    273.85/378.44 = 208.24/x
  3. Step 3: Cross multiply
    273.85x = 378.44 × 208.24
  4. Step 4: Simplify right side
    273.85x = 78,806.35
  5. Step 5: Solve for x
    x = 78,806.35/273.85
  6. Step 6: Final answer
    x = 287.77

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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.