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Finding the Fourth Proportional to 361.95, 542.31 and 199.74

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Solution

The fourth proportional to 361.95, 542.31 and 199.74 is: 299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.95 : 542.31 = 199.74 : x
  2. Step 2: Convert to fraction form
    361.95/542.31 = 199.74/x
  3. Step 3: Cross multiply
    361.95x = 542.31 × 199.74
  4. Step 4: Simplify right side
    361.95x = 108,321.00
  5. Step 5: Solve for x
    x = 108,321.00/361.95
  6. Step 6: Final answer
    x = 299.27

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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.