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Finding the Fourth Proportional to 279.69, 385.99 and 163.27

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Solution

The fourth proportional to 279.69, 385.99 and 163.27 is: 225.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.69 : 385.99 = 163.27 : x
  2. Step 2: Convert to fraction form
    279.69/385.99 = 163.27/x
  3. Step 3: Cross multiply
    279.69x = 385.99 × 163.27
  4. Step 4: Simplify right side
    279.69x = 63,021.76
  5. Step 5: Solve for x
    x = 63,021.76/279.69
  6. Step 6: Final answer
    x = 225.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.