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Finding the Fourth Proportional to 301.78, 452.06 and 198.81

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Solution

The fourth proportional to 301.78, 452.06 and 198.81 is: 297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.78 : 452.06 = 198.81 : x
  2. Step 2: Convert to fraction form
    301.78/452.06 = 198.81/x
  3. Step 3: Cross multiply
    301.78x = 452.06 × 198.81
  4. Step 4: Simplify right side
    301.78x = 89,874.05
  5. Step 5: Solve for x
    x = 89,874.05/301.78
  6. Step 6: Final answer
    x = 297.81

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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.