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Finding the Fourth Proportional to 199.66, 297.83 and 196.36

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Solution

The fourth proportional to 199.66, 297.83 and 196.36 is: 292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.66 : 297.83 = 196.36 : x
  2. Step 2: Convert to fraction form
    199.66/297.83 = 196.36/x
  3. Step 3: Cross multiply
    199.66x = 297.83 × 196.36
  4. Step 4: Simplify right side
    199.66x = 58,481.90
  5. Step 5: Solve for x
    x = 58,481.90/199.66
  6. Step 6: Final answer
    x = 292.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.