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Finding the Fourth Proportional to 279.89, 386.18 and 169.37

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Solution

The fourth proportional to 279.89, 386.18 and 169.37 is: 233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.89 : 386.18 = 169.37 : x
  2. Step 2: Convert to fraction form
    279.89/386.18 = 169.37/x
  3. Step 3: Cross multiply
    279.89x = 386.18 × 169.37
  4. Step 4: Simplify right side
    279.89x = 65,404.53
  5. Step 5: Solve for x
    x = 65,404.53/279.89
  6. Step 6: Final answer
    x = 233.68

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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.