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Finding the Fourth Proportional to 280.29, 386.74 and 169.80

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Solution

The fourth proportional to 280.29, 386.74 and 169.80 is: 234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.29 : 386.74 = 169.80 : x
  2. Step 2: Convert to fraction form
    280.29/386.74 = 169.80/x
  3. Step 3: Cross multiply
    280.29x = 386.74 × 169.80
  4. Step 4: Simplify right side
    280.29x = 65,668.45
  5. Step 5: Solve for x
    x = 65,668.45/280.29
  6. Step 6: Final answer
    x = 234.29

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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.