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Finding the Fourth Proportional to 295.92, 408.16 and 208.44

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Solution

The fourth proportional to 295.92, 408.16 and 208.44 is: 287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.92 : 408.16 = 208.44 : x
  2. Step 2: Convert to fraction form
    295.92/408.16 = 208.44/x
  3. Step 3: Cross multiply
    295.92x = 408.16 × 208.44
  4. Step 4: Simplify right side
    295.92x = 85,076.87
  5. Step 5: Solve for x
    x = 85,076.87/295.92
  6. Step 6: Final answer
    x = 287.50

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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.