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Finding the Fourth Proportional to 361.28, 542.52 and 196.65

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Solution

The fourth proportional to 361.28, 542.52 and 196.65 is: 295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.28 : 542.52 = 196.65 : x
  2. Step 2: Convert to fraction form
    361.28/542.52 = 196.65/x
  3. Step 3: Cross multiply
    361.28x = 542.52 × 196.65
  4. Step 4: Simplify right side
    361.28x = 106,686.56
  5. Step 5: Solve for x
    x = 106,686.56/361.28
  6. Step 6: Final answer
    x = 295.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.