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Finding the Fourth Proportional to 297.22, 445.85 and 114.56

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Solution

The fourth proportional to 297.22, 445.85 and 114.56 is: 171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.22 : 445.85 = 114.56 : x
  2. Step 2: Convert to fraction form
    297.22/445.85 = 114.56/x
  3. Step 3: Cross multiply
    297.22x = 445.85 × 114.56
  4. Step 4: Simplify right side
    297.22x = 51,079.03
  5. Step 5: Solve for x
    x = 51,079.03/297.22
  6. Step 6: Final answer
    x = 171.86

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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.