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Finding the Fourth Proportional to 292.99, 404.18 and 198.47

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Solution

The fourth proportional to 292.99, 404.18 and 198.47 is: 273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.99 : 404.18 = 198.47 : x
  2. Step 2: Convert to fraction form
    292.99/404.18 = 198.47/x
  3. Step 3: Cross multiply
    292.99x = 404.18 × 198.47
  4. Step 4: Simplify right side
    292.99x = 80,214.59
  5. Step 5: Solve for x
    x = 80,214.59/292.99
  6. Step 6: Final answer
    x = 273.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.