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Finding the Fourth Proportional to 278.54, 418.42 and 197.89

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Solution

The fourth proportional to 278.54, 418.42 and 197.89 is: 297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.54 : 418.42 = 197.89 : x
  2. Step 2: Convert to fraction form
    278.54/418.42 = 197.89/x
  3. Step 3: Cross multiply
    278.54x = 418.42 × 197.89
  4. Step 4: Simplify right side
    278.54x = 82,801.58
  5. Step 5: Solve for x
    x = 82,801.58/278.54
  6. Step 6: Final answer
    x = 297.27

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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.