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Finding the Fourth Proportional to 279.80, 386.17 and 167.82

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Solution

The fourth proportional to 279.80, 386.17 and 167.82 is: 231.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.80 : 386.17 = 167.82 : x
  2. Step 2: Convert to fraction form
    279.80/386.17 = 167.82/x
  3. Step 3: Cross multiply
    279.80x = 386.17 × 167.82
  4. Step 4: Simplify right side
    279.80x = 64,807.35
  5. Step 5: Solve for x
    x = 64,807.35/279.80
  6. Step 6: Final answer
    x = 231.62

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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.