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Finding the Fourth Proportional to 278.54, 384.17 and 195.56

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Solution

The fourth proportional to 278.54, 384.17 and 195.56 is: 269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.54 : 384.17 = 195.56 : x
  2. Step 2: Convert to fraction form
    278.54/384.17 = 195.56/x
  3. Step 3: Cross multiply
    278.54x = 384.17 × 195.56
  4. Step 4: Simplify right side
    278.54x = 75,128.29
  5. Step 5: Solve for x
    x = 75,128.29/278.54
  6. Step 6: Final answer
    x = 269.72

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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.