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Finding the Fourth Proportional to 279.09, 418.67 and 142.09

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Solution

The fourth proportional to 279.09, 418.67 and 142.09 is: 213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.09 : 418.67 = 142.09 : x
  2. Step 2: Convert to fraction form
    279.09/418.67 = 142.09/x
  3. Step 3: Cross multiply
    279.09x = 418.67 × 142.09
  4. Step 4: Simplify right side
    279.09x = 59,488.82
  5. Step 5: Solve for x
    x = 59,488.82/279.09
  6. Step 6: Final answer
    x = 213.15

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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.