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Finding the Fourth Proportional to 204.26, 303.89 and 196.34

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Solution

The fourth proportional to 204.26, 303.89 and 196.34 is: 292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.26 : 303.89 = 196.34 : x
  2. Step 2: Convert to fraction form
    204.26/303.89 = 196.34/x
  3. Step 3: Cross multiply
    204.26x = 303.89 × 196.34
  4. Step 4: Simplify right side
    204.26x = 59,663.26
  5. Step 5: Solve for x
    x = 59,663.26/204.26
  6. Step 6: Final answer
    x = 292.10

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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.