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Finding the Fourth Proportional to 778.25, 1,167.38 and 201.13

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Solution

The fourth proportional to 778.25, 1,167.38 and 201.13 is: 301.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.25 : 1,167.38 = 201.13 : x
  2. Step 2: Convert to fraction form
    778.25/1,167.38 = 201.13/x
  3. Step 3: Cross multiply
    778.25x = 1,167.38 × 201.13
  4. Step 4: Simplify right side
    778.25x = 234,788.30
  5. Step 5: Solve for x
    x = 234,788.30/778.25
  6. Step 6: Final answer
    x = 301.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.