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Finding the Fourth Proportional to 279.01, 384.79 and 196.08

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Solution

The fourth proportional to 279.01, 384.79 and 196.08 is: 270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.01 : 384.79 = 196.08 : x
  2. Step 2: Convert to fraction form
    279.01/384.79 = 196.08/x
  3. Step 3: Cross multiply
    279.01x = 384.79 × 196.08
  4. Step 4: Simplify right side
    279.01x = 75,449.62
  5. Step 5: Solve for x
    x = 75,449.62/279.01
  6. Step 6: Final answer
    x = 270.42

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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.