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Finding the Fourth Proportional to 278.86, 417.84 and 196.74

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Solution

The fourth proportional to 278.86, 417.84 and 196.74 is: 294.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.86 : 417.84 = 196.74 : x
  2. Step 2: Convert to fraction form
    278.86/417.84 = 196.74/x
  3. Step 3: Cross multiply
    278.86x = 417.84 × 196.74
  4. Step 4: Simplify right side
    278.86x = 82,205.84
  5. Step 5: Solve for x
    x = 82,205.84/278.86
  6. Step 6: Final answer
    x = 294.79

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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.