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Finding the Fourth Proportional to 279.14, 418.95 and 142.27

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Solution

The fourth proportional to 279.14, 418.95 and 142.27 is: 213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.14 : 418.95 = 142.27 : x
  2. Step 2: Convert to fraction form
    279.14/418.95 = 142.27/x
  3. Step 3: Cross multiply
    279.14x = 418.95 × 142.27
  4. Step 4: Simplify right side
    279.14x = 59,602.97
  5. Step 5: Solve for x
    x = 59,602.97/279.14
  6. Step 6: Final answer
    x = 213.53

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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.