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Finding the Fourth Proportional to 203.31, 303.01 and 196.43

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Solution

The fourth proportional to 203.31, 303.01 and 196.43 is: 292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.31 : 303.01 = 196.43 : x
  2. Step 2: Convert to fraction form
    203.31/303.01 = 196.43/x
  3. Step 3: Cross multiply
    203.31x = 303.01 × 196.43
  4. Step 4: Simplify right side
    203.31x = 59,518.25
  5. Step 5: Solve for x
    x = 59,518.25/203.31
  6. Step 6: Final answer
    x = 292.75

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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.