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Finding the Fourth Proportional to 444.77, 667.12 and 198.05

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Solution

The fourth proportional to 444.77, 667.12 and 198.05 is: 297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.77 : 667.12 = 198.05 : x
  2. Step 2: Convert to fraction form
    444.77/667.12 = 198.05/x
  3. Step 3: Cross multiply
    444.77x = 667.12 × 198.05
  4. Step 4: Simplify right side
    444.77x = 132,123.12
  5. Step 5: Solve for x
    x = 132,123.12/444.77
  6. Step 6: Final answer
    x = 297.06

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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.