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Finding the Fourth Proportional to 201.12, 300 and 196.32

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Solution

The fourth proportional to 201.12, 300 and 196.32 is: 292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.12 : 300 = 196.32 : x
  2. Step 2: Convert to fraction form
    201.12/300 = 196.32/x
  3. Step 3: Cross multiply
    201.12x = 300 × 196.32
  4. Step 4: Simplify right side
    201.12x = 58,896
  5. Step 5: Solve for x
    x = 58,896/201.12
  6. Step 6: Final answer
    x = 292.84

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