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Finding the Fourth Proportional to 284.54, 426.09 and 198.14

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Solution

The fourth proportional to 284.54, 426.09 and 198.14 is: 296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.54 : 426.09 = 198.14 : x
  2. Step 2: Convert to fraction form
    284.54/426.09 = 198.14/x
  3. Step 3: Cross multiply
    284.54x = 426.09 × 198.14
  4. Step 4: Simplify right side
    284.54x = 84,425.47
  5. Step 5: Solve for x
    x = 84,425.47/284.54
  6. Step 6: Final answer
    x = 296.71

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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.