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Finding the Fourth Proportional to 249.43, 373.44 and 198.15

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Solution

The fourth proportional to 249.43, 373.44 and 198.15 is: 296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.43 : 373.44 = 198.15 : x
  2. Step 2: Convert to fraction form
    249.43/373.44 = 198.15/x
  3. Step 3: Cross multiply
    249.43x = 373.44 × 198.15
  4. Step 4: Simplify right side
    249.43x = 73,996.15
  5. Step 5: Solve for x
    x = 73,996.15/249.43
  6. Step 6: Final answer
    x = 296.66

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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.