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Finding the Fourth Proportional to 361.18, 540.84 and 198.68

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Solution

The fourth proportional to 361.18, 540.84 and 198.68 is: 297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.18 : 540.84 = 198.68 : x
  2. Step 2: Convert to fraction form
    361.18/540.84 = 198.68/x
  3. Step 3: Cross multiply
    361.18x = 540.84 × 198.68
  4. Step 4: Simplify right side
    361.18x = 107,454.09
  5. Step 5: Solve for x
    x = 107,454.09/361.18
  6. Step 6: Final answer
    x = 297.51

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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.