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Finding the Fourth Proportional to 361.83, 542.07 and 199.29

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Solution

The fourth proportional to 361.83, 542.07 and 199.29 is: 298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.83 : 542.07 = 199.29 : x
  2. Step 2: Convert to fraction form
    361.83/542.07 = 199.29/x
  3. Step 3: Cross multiply
    361.83x = 542.07 × 199.29
  4. Step 4: Simplify right side
    361.83x = 108,029.13
  5. Step 5: Solve for x
    x = 108,029.13/361.83
  6. Step 6: Final answer
    x = 298.56

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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.