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Finding the Fourth Proportional to 301.57, 451.87 and 198.78

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Solution

The fourth proportional to 301.57, 451.87 and 198.78 is: 297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.57 : 451.87 = 198.78 : x
  2. Step 2: Convert to fraction form
    301.57/451.87 = 198.78/x
  3. Step 3: Cross multiply
    301.57x = 451.87 × 198.78
  4. Step 4: Simplify right side
    301.57x = 89,822.72
  5. Step 5: Solve for x
    x = 89,822.72/301.57
  6. Step 6: Final answer
    x = 297.85

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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.