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Finding the Fourth Proportional to 279.96, 386.64 and 249.42

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Solution

The fourth proportional to 279.96, 386.64 and 249.42 is: 344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.96 : 386.64 = 249.42 : x
  2. Step 2: Convert to fraction form
    279.96/386.64 = 249.42/x
  3. Step 3: Cross multiply
    279.96x = 386.64 × 249.42
  4. Step 4: Simplify right side
    279.96x = 96,435.75
  5. Step 5: Solve for x
    x = 96,435.75/279.96
  6. Step 6: Final answer
    x = 344.46

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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.