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Finding the Fourth Proportional to 295.85, 408.20 and 225.98

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Solution

The fourth proportional to 295.85, 408.20 and 225.98 is: 311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.85 : 408.20 = 225.98 : x
  2. Step 2: Convert to fraction form
    295.85/408.20 = 225.98/x
  3. Step 3: Cross multiply
    295.85x = 408.20 × 225.98
  4. Step 4: Simplify right side
    295.85x = 92,241.87
  5. Step 5: Solve for x
    x = 92,241.87/295.85
  6. Step 6: Final answer
    x = 311.79

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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.