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Finding the Fourth Proportional to 278.38, 416.76 and 205.75

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Solution

The fourth proportional to 278.38, 416.76 and 205.75 is: 308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.38 : 416.76 = 205.75 : x
  2. Step 2: Convert to fraction form
    278.38/416.76 = 205.75/x
  3. Step 3: Cross multiply
    278.38x = 416.76 × 205.75
  4. Step 4: Simplify right side
    278.38x = 85,748.37
  5. Step 5: Solve for x
    x = 85,748.37/278.38
  6. Step 6: Final answer
    x = 308.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.