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Finding the Fourth Proportional to 297.20, 445.68 and 104.78

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Solution

The fourth proportional to 297.20, 445.68 and 104.78 is: 157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.20 : 445.68 = 104.78 : x
  2. Step 2: Convert to fraction form
    297.20/445.68 = 104.78/x
  3. Step 3: Cross multiply
    297.20x = 445.68 × 104.78
  4. Step 4: Simplify right side
    297.20x = 46,698.35
  5. Step 5: Solve for x
    x = 46,698.35/297.20
  6. Step 6: Final answer
    x = 157.13

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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.