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Finding the Fourth Proportional to 279.80, 386.14 and 169.22

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Solution

The fourth proportional to 279.80, 386.14 and 169.22 is: 233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.80 : 386.14 = 169.22 : x
  2. Step 2: Convert to fraction form
    279.80/386.14 = 169.22/x
  3. Step 3: Cross multiply
    279.80x = 386.14 × 169.22
  4. Step 4: Simplify right side
    279.80x = 65,342.61
  5. Step 5: Solve for x
    x = 65,342.61/279.80
  6. Step 6: Final answer
    x = 233.53

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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.