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Finding the Fourth Proportional to 279.68, 385.44 and 201.92

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Solution

The fourth proportional to 279.68, 385.44 and 201.92 is: 278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.68 : 385.44 = 201.92 : x
  2. Step 2: Convert to fraction form
    279.68/385.44 = 201.92/x
  3. Step 3: Cross multiply
    279.68x = 385.44 × 201.92
  4. Step 4: Simplify right side
    279.68x = 77,828.04
  5. Step 5: Solve for x
    x = 77,828.04/279.68
  6. Step 6: Final answer
    x = 278.28

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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.