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Finding the Fourth Proportional to 279.47, 386.13 and 196.85

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Solution

The fourth proportional to 279.47, 386.13 and 196.85 is: 271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.47 : 386.13 = 196.85 : x
  2. Step 2: Convert to fraction form
    279.47/386.13 = 196.85/x
  3. Step 3: Cross multiply
    279.47x = 386.13 × 196.85
  4. Step 4: Simplify right side
    279.47x = 76,009.69
  5. Step 5: Solve for x
    x = 76,009.69/279.47
  6. Step 6: Final answer
    x = 271.98

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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.