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Finding the Fourth Proportional to 778.92, 1,168.39 and 201.80

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Solution

The fourth proportional to 778.92, 1,168.39 and 201.80 is: 302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.92 : 1,168.39 = 201.80 : x
  2. Step 2: Convert to fraction form
    778.92/1,168.39 = 201.80/x
  3. Step 3: Cross multiply
    778.92x = 1,168.39 × 201.80
  4. Step 4: Simplify right side
    778.92x = 235,776.57
  5. Step 5: Solve for x
    x = 235,776.57/778.92
  6. Step 6: Final answer
    x = 302.70

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