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Finding the Fourth Proportional to 278.82, 384.38 and 195.68

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Solution

The fourth proportional to 278.82, 384.38 and 195.68 is: 269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.82 : 384.38 = 195.68 : x
  2. Step 2: Convert to fraction form
    278.82/384.38 = 195.68/x
  3. Step 3: Cross multiply
    278.82x = 384.38 × 195.68
  4. Step 4: Simplify right side
    278.82x = 75,215.48
  5. Step 5: Solve for x
    x = 75,215.48/278.82
  6. Step 6: Final answer
    x = 269.76

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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.