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Finding the Fourth Proportional to 295.92, 443.04 and 199.56

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Solution

The fourth proportional to 295.92, 443.04 and 199.56 is: 298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.92 : 443.04 = 199.56 : x
  2. Step 2: Convert to fraction form
    295.92/443.04 = 199.56/x
  3. Step 3: Cross multiply
    295.92x = 443.04 × 199.56
  4. Step 4: Simplify right side
    295.92x = 88,413.06
  5. Step 5: Solve for x
    x = 88,413.06/295.92
  6. Step 6: Final answer
    x = 298.77

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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.