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Finding the Fourth Proportional to 297.45, 445.85 and 112.26

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Solution

The fourth proportional to 297.45, 445.85 and 112.26 is: 168.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.45 : 445.85 = 112.26 : x
  2. Step 2: Convert to fraction form
    297.45/445.85 = 112.26/x
  3. Step 3: Cross multiply
    297.45x = 445.85 × 112.26
  4. Step 4: Simplify right side
    297.45x = 50,052.03
  5. Step 5: Solve for x
    x = 50,052.03/297.45
  6. Step 6: Final answer
    x = 168.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.