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Finding the Fourth Proportional to 284.14, 392.26 and 196.92

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Solution

The fourth proportional to 284.14, 392.26 and 196.92 is: 271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.14 : 392.26 = 196.92 : x
  2. Step 2: Convert to fraction form
    284.14/392.26 = 196.92/x
  3. Step 3: Cross multiply
    284.14x = 392.26 × 196.92
  4. Step 4: Simplify right side
    284.14x = 77,243.84
  5. Step 5: Solve for x
    x = 77,243.84/284.14
  6. Step 6: Final answer
    x = 271.85

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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.