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Finding the Fourth Proportional to 279.78, 386.15 and 163.37

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Solution

The fourth proportional to 279.78, 386.15 and 163.37 is: 225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.78 : 386.15 = 163.37 : x
  2. Step 2: Convert to fraction form
    279.78/386.15 = 163.37/x
  3. Step 3: Cross multiply
    279.78x = 386.15 × 163.37
  4. Step 4: Simplify right side
    279.78x = 63,082.58
  5. Step 5: Solve for x
    x = 63,082.58/279.78
  6. Step 6: Final answer
    x = 225.47

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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.