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Finding the Fourth Proportional to 284.73, 393.09 and 196.35

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Solution

The fourth proportional to 284.73, 393.09 and 196.35 is: 271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.73 : 393.09 = 196.35 : x
  2. Step 2: Convert to fraction form
    284.73/393.09 = 196.35/x
  3. Step 3: Cross multiply
    284.73x = 393.09 × 196.35
  4. Step 4: Simplify right side
    284.73x = 77,183.22
  5. Step 5: Solve for x
    x = 77,183.22/284.73
  6. Step 6: Final answer
    x = 271.08

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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.