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Finding the Fourth Proportional to 297.14, 445.09 and 206.01

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Solution

The fourth proportional to 297.14, 445.09 and 206.01 is: 308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.14 : 445.09 = 206.01 : x
  2. Step 2: Convert to fraction form
    297.14/445.09 = 206.01/x
  3. Step 3: Cross multiply
    297.14x = 445.09 × 206.01
  4. Step 4: Simplify right side
    297.14x = 91,692.99
  5. Step 5: Solve for x
    x = 91,692.99/297.14
  6. Step 6: Final answer
    x = 308.59

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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.