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Finding the Fourth Proportional to 278.01, 382.97 and 194.95

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Solution

The fourth proportional to 278.01, 382.97 and 194.95 is: 268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.01 : 382.97 = 194.95 : x
  2. Step 2: Convert to fraction form
    278.01/382.97 = 194.95/x
  3. Step 3: Cross multiply
    278.01x = 382.97 × 194.95
  4. Step 4: Simplify right side
    278.01x = 74,660.49
  5. Step 5: Solve for x
    x = 74,660.49/278.01
  6. Step 6: Final answer
    x = 268.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.