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Finding the Fourth Proportional to 279.76, 418.90 and 163.88

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Solution

The fourth proportional to 279.76, 418.90 and 163.88 is: 245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.76 : 418.90 = 163.88 : x
  2. Step 2: Convert to fraction form
    279.76/418.90 = 163.88/x
  3. Step 3: Cross multiply
    279.76x = 418.90 × 163.88
  4. Step 4: Simplify right side
    279.76x = 68,649.33
  5. Step 5: Solve for x
    x = 68,649.33/279.76
  6. Step 6: Final answer
    x = 245.39

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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.