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Finding the Fourth Proportional to 278.94, 418.47 and 197.82

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Solution

The fourth proportional to 278.94, 418.47 and 197.82 is: 296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.94 : 418.47 = 197.82 : x
  2. Step 2: Convert to fraction form
    278.94/418.47 = 197.82/x
  3. Step 3: Cross multiply
    278.94x = 418.47 × 197.82
  4. Step 4: Simplify right side
    278.94x = 82,781.74
  5. Step 5: Solve for x
    x = 82,781.74/278.94
  6. Step 6: Final answer
    x = 296.77

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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.