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Finding the Fourth Proportional to 279.18, 418.42 and 201.73

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Solution

The fourth proportional to 279.18, 418.42 and 201.73 is: 302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.18 : 418.42 = 201.73 : x
  2. Step 2: Convert to fraction form
    279.18/418.42 = 201.73/x
  3. Step 3: Cross multiply
    279.18x = 418.42 × 201.73
  4. Step 4: Simplify right side
    279.18x = 84,407.87
  5. Step 5: Solve for x
    x = 84,407.87/279.18
  6. Step 6: Final answer
    x = 302.34

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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.