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Finding the Fourth Proportional to 284.92, 393.05 and 197.44

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Solution

The fourth proportional to 284.92, 393.05 and 197.44 is: 272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.92 : 393.05 = 197.44 : x
  2. Step 2: Convert to fraction form
    284.92/393.05 = 197.44/x
  3. Step 3: Cross multiply
    284.92x = 393.05 × 197.44
  4. Step 4: Simplify right side
    284.92x = 77,603.30
  5. Step 5: Solve for x
    x = 77,603.30/284.92
  6. Step 6: Final answer
    x = 272.37

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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.