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Finding the Fourth Proportional to 297.25, 444.80 and 206.01

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Solution

The fourth proportional to 297.25, 444.80 and 206.01 is: 308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.25 : 444.80 = 206.01 : x
  2. Step 2: Convert to fraction form
    297.25/444.80 = 206.01/x
  3. Step 3: Cross multiply
    297.25x = 444.80 × 206.01
  4. Step 4: Simplify right side
    297.25x = 91,633.25
  5. Step 5: Solve for x
    x = 91,633.25/297.25
  6. Step 6: Final answer
    x = 308.27

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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.