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Finding the Fourth Proportional to 268.37, 402.76 and 196.42

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Solution

The fourth proportional to 268.37, 402.76 and 196.42 is: 294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.37 : 402.76 = 196.42 : x
  2. Step 2: Convert to fraction form
    268.37/402.76 = 196.42/x
  3. Step 3: Cross multiply
    268.37x = 402.76 × 196.42
  4. Step 4: Simplify right side
    268.37x = 79,109.60
  5. Step 5: Solve for x
    x = 79,109.60/268.37
  6. Step 6: Final answer
    x = 294.78

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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.