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Finding the Fourth Proportional to 279.97, 418.86 and 243.82

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Solution

The fourth proportional to 279.97, 418.86 and 243.82 is: 364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.97 : 418.86 = 243.82 : x
  2. Step 2: Convert to fraction form
    279.97/418.86 = 243.82/x
  3. Step 3: Cross multiply
    279.97x = 418.86 × 243.82
  4. Step 4: Simplify right side
    279.97x = 102,124.35
  5. Step 5: Solve for x
    x = 102,124.35/279.97
  6. Step 6: Final answer
    x = 364.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.