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Finding the Fourth Proportional to 279.28, 418.81 and 96.63

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Solution

The fourth proportional to 279.28, 418.81 and 96.63 is: 144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.28 : 418.81 = 96.63 : x
  2. Step 2: Convert to fraction form
    279.28/418.81 = 96.63/x
  3. Step 3: Cross multiply
    279.28x = 418.81 × 96.63
  4. Step 4: Simplify right side
    279.28x = 40,469.61
  5. Step 5: Solve for x
    x = 40,469.61/279.28
  6. Step 6: Final answer
    x = 144.91

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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.