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Finding the Fourth Proportional to 297.25, 445.61 and 114.78

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Solution

The fourth proportional to 297.25, 445.61 and 114.78 is: 172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.25 : 445.61 = 114.78 : x
  2. Step 2: Convert to fraction form
    297.25/445.61 = 114.78/x
  3. Step 3: Cross multiply
    297.25x = 445.61 × 114.78
  4. Step 4: Simplify right side
    297.25x = 51,148.75
  5. Step 5: Solve for x
    x = 51,148.75/297.25
  6. Step 6: Final answer
    x = 172.07

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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.