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Finding the Fourth Proportional to 279.14, 418.41 and 96.44

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Solution

The fourth proportional to 279.14, 418.41 and 96.44 is: 144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.14 : 418.41 = 96.44 : x
  2. Step 2: Convert to fraction form
    279.14/418.41 = 96.44/x
  3. Step 3: Cross multiply
    279.14x = 418.41 × 96.44
  4. Step 4: Simplify right side
    279.14x = 40,349.37
  5. Step 5: Solve for x
    x = 40,349.37/279.14
  6. Step 6: Final answer
    x = 144.55

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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.