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Finding the Fourth Proportional to 361.02, 542.14 and 199.02

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Solution

The fourth proportional to 361.02, 542.14 and 199.02 is: 298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.02 : 542.14 = 199.02 : x
  2. Step 2: Convert to fraction form
    361.02/542.14 = 199.02/x
  3. Step 3: Cross multiply
    361.02x = 542.14 × 199.02
  4. Step 4: Simplify right side
    361.02x = 107,896.70
  5. Step 5: Solve for x
    x = 107,896.70/361.02
  6. Step 6: Final answer
    x = 298.87

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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.