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Finding the Fourth Proportional to 279.76, 386.09 and 195.74

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Solution

The fourth proportional to 279.76, 386.09 and 195.74 is: 270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.76 : 386.09 = 195.74 : x
  2. Step 2: Convert to fraction form
    279.76/386.09 = 195.74/x
  3. Step 3: Cross multiply
    279.76x = 386.09 × 195.74
  4. Step 4: Simplify right side
    279.76x = 75,572.28
  5. Step 5: Solve for x
    x = 75,572.28/279.76
  6. Step 6: Final answer
    x = 270.14

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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.