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Finding the Fourth Proportional to 278.27, 383.78 and 208.49

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Solution

The fourth proportional to 278.27, 383.78 and 208.49 is: 287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.27 : 383.78 = 208.49 : x
  2. Step 2: Convert to fraction form
    278.27/383.78 = 208.49/x
  3. Step 3: Cross multiply
    278.27x = 383.78 × 208.49
  4. Step 4: Simplify right side
    278.27x = 80,014.21
  5. Step 5: Solve for x
    x = 80,014.21/278.27
  6. Step 6: Final answer
    x = 287.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.