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Finding the Fourth Proportional to 202.12, 301.46 and 196.04

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Solution

The fourth proportional to 202.12, 301.46 and 196.04 is: 292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.12 : 301.46 = 196.04 : x
  2. Step 2: Convert to fraction form
    202.12/301.46 = 196.04/x
  3. Step 3: Cross multiply
    202.12x = 301.46 × 196.04
  4. Step 4: Simplify right side
    202.12x = 59,098.22
  5. Step 5: Solve for x
    x = 59,098.22/202.12
  6. Step 6: Final answer
    x = 292.39

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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.