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Finding the Fourth Proportional to 278.16, 416.79 and 196.85

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Solution

The fourth proportional to 278.16, 416.79 and 196.85 is: 294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.16 : 416.79 = 196.85 : x
  2. Step 2: Convert to fraction form
    278.16/416.79 = 196.85/x
  3. Step 3: Cross multiply
    278.16x = 416.79 × 196.85
  4. Step 4: Simplify right side
    278.16x = 82,043.03
  5. Step 5: Solve for x
    x = 82,043.03/278.16
  6. Step 6: Final answer
    x = 294.95

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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.