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Finding the Fourth Proportional to 361.02, 540.99 and 168.24

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Solution

The fourth proportional to 361.02, 540.99 and 168.24 is: 252.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.02 : 540.99 = 168.24 : x
  2. Step 2: Convert to fraction form
    361.02/540.99 = 168.24/x
  3. Step 3: Cross multiply
    361.02x = 540.99 × 168.24
  4. Step 4: Simplify right side
    361.02x = 91,016.16
  5. Step 5: Solve for x
    x = 91,016.16/361.02
  6. Step 6: Final answer
    x = 252.11

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Why These Related Problems?

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