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Finding the Fourth Proportional to 297.65, 445.96 and 206.41

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Solution

The fourth proportional to 297.65, 445.96 and 206.41 is: 309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.65 : 445.96 = 206.41 : x
  2. Step 2: Convert to fraction form
    297.65/445.96 = 206.41/x
  3. Step 3: Cross multiply
    297.65x = 445.96 × 206.41
  4. Step 4: Simplify right side
    297.65x = 92,051.42
  5. Step 5: Solve for x
    x = 92,051.42/297.65
  6. Step 6: Final answer
    x = 309.26

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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.