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Finding the Fourth Proportional to 279.91, 386.23 and 161.86

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Solution

The fourth proportional to 279.91, 386.23 and 161.86 is: 223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.91 : 386.23 = 161.86 : x
  2. Step 2: Convert to fraction form
    279.91/386.23 = 161.86/x
  3. Step 3: Cross multiply
    279.91x = 386.23 × 161.86
  4. Step 4: Simplify right side
    279.91x = 62,512.45
  5. Step 5: Solve for x
    x = 62,512.45/279.91
  6. Step 6: Final answer
    x = 223.33

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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.