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Finding the Fourth Proportional to 186.05, 280.21 and 167.97

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Solution

The fourth proportional to 186.05, 280.21 and 167.97 is: 252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.05 : 280.21 = 167.97 : x
  2. Step 2: Convert to fraction form
    186.05/280.21 = 167.97/x
  3. Step 3: Cross multiply
    186.05x = 280.21 × 167.97
  4. Step 4: Simplify right side
    186.05x = 47,067.82
  5. Step 5: Solve for x
    x = 47,067.82/186.05
  6. Step 6: Final answer
    x = 252.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.