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Finding the Fourth Proportional to 278.78, 418.17 and 175.75

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Solution

The fourth proportional to 278.78, 418.17 and 175.75 is: 263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.78 : 418.17 = 175.75 : x
  2. Step 2: Convert to fraction form
    278.78/418.17 = 175.75/x
  3. Step 3: Cross multiply
    278.78x = 418.17 × 175.75
  4. Step 4: Simplify right side
    278.78x = 73,493.38
  5. Step 5: Solve for x
    x = 73,493.38/278.78
  6. Step 6: Final answer
    x = 263.63

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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.