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Finding the Fourth Proportional to 200.78, 298.59 and 196.22

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Solution

The fourth proportional to 200.78, 298.59 and 196.22 is: 291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.78 : 298.59 = 196.22 : x
  2. Step 2: Convert to fraction form
    200.78/298.59 = 196.22/x
  3. Step 3: Cross multiply
    200.78x = 298.59 × 196.22
  4. Step 4: Simplify right side
    200.78x = 58,589.34
  5. Step 5: Solve for x
    x = 58,589.34/200.78
  6. Step 6: Final answer
    x = 291.81

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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.