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Finding the Fourth Proportional to 279.91, 386.32 and 201.48

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Solution

The fourth proportional to 279.91, 386.32 and 201.48 is: 278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.91 : 386.32 = 201.48 : x
  2. Step 2: Convert to fraction form
    279.91/386.32 = 201.48/x
  3. Step 3: Cross multiply
    279.91x = 386.32 × 201.48
  4. Step 4: Simplify right side
    279.91x = 77,836.67
  5. Step 5: Solve for x
    x = 77,836.67/279.91
  6. Step 6: Final answer
    x = 278.08

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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.