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Finding the Fourth Proportional to 279.45, 386.01 and 213.84

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Solution

The fourth proportional to 279.45, 386.01 and 213.84 is: 295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.45 : 386.01 = 213.84 : x
  2. Step 2: Convert to fraction form
    279.45/386.01 = 213.84/x
  3. Step 3: Cross multiply
    279.45x = 386.01 × 213.84
  4. Step 4: Simplify right side
    279.45x = 82,544.38
  5. Step 5: Solve for x
    x = 82,544.38/279.45
  6. Step 6: Final answer
    x = 295.38

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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.