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Finding the Fourth Proportional to 279.57, 418.91 and 142.43

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Solution

The fourth proportional to 279.57, 418.91 and 142.43 is: 213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.57 : 418.91 = 142.43 : x
  2. Step 2: Convert to fraction form
    279.57/418.91 = 142.43/x
  3. Step 3: Cross multiply
    279.57x = 418.91 × 142.43
  4. Step 4: Simplify right side
    279.57x = 59,662.54
  5. Step 5: Solve for x
    x = 59,662.54/279.57
  6. Step 6: Final answer
    x = 213.41

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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.