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Finding the Fourth Proportional to 279.44, 418.69 and 198.13

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Solution

The fourth proportional to 279.44, 418.69 and 198.13 is: 296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.44 : 418.69 = 198.13 : x
  2. Step 2: Convert to fraction form
    279.44/418.69 = 198.13/x
  3. Step 3: Cross multiply
    279.44x = 418.69 × 198.13
  4. Step 4: Simplify right side
    279.44x = 82,953.51
  5. Step 5: Solve for x
    x = 82,953.51/279.44
  6. Step 6: Final answer
    x = 296.86

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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.