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Finding the Fourth Proportional to 297.14, 445.86 and 200.76

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Solution

The fourth proportional to 297.14, 445.86 and 200.76 is: 301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.14 : 445.86 = 200.76 : x
  2. Step 2: Convert to fraction form
    297.14/445.86 = 200.76/x
  3. Step 3: Cross multiply
    297.14x = 445.86 × 200.76
  4. Step 4: Simplify right side
    297.14x = 89,510.85
  5. Step 5: Solve for x
    x = 89,510.85/297.14
  6. Step 6: Final answer
    x = 301.24

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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.