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Finding the Fourth Proportional to 297.37, 445.67 and 205.88

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Solution

The fourth proportional to 297.37, 445.67 and 205.88 is: 308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.37 : 445.67 = 205.88 : x
  2. Step 2: Convert to fraction form
    297.37/445.67 = 205.88/x
  3. Step 3: Cross multiply
    297.37x = 445.67 × 205.88
  4. Step 4: Simplify right side
    297.37x = 91,752.05
  5. Step 5: Solve for x
    x = 91,752.05/297.37
  6. Step 6: Final answer
    x = 308.54

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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.