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Finding the Fourth Proportional to 279.82, 418.97 and 211.14

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Solution

The fourth proportional to 279.82, 418.97 and 211.14 is: 316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.82 : 418.97 = 211.14 : x
  2. Step 2: Convert to fraction form
    279.82/418.97 = 211.14/x
  3. Step 3: Cross multiply
    279.82x = 418.97 × 211.14
  4. Step 4: Simplify right side
    279.82x = 88,460.27
  5. Step 5: Solve for x
    x = 88,460.27/279.82
  6. Step 6: Final answer
    x = 316.13

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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.