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Finding the Fourth Proportional to 361, 541.02 and 199

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Solution

The fourth proportional to 361, 541.02 and 199 is: 298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361 : 541.02 = 199 : x
  2. Step 2: Convert to fraction form
    361/541.02 = 199/x
  3. Step 3: Cross multiply
    361x = 541.02 × 199
  4. Step 4: Simplify right side
    361x = 107,662.98
  5. Step 5: Solve for x
    x = 107,662.98/361
  6. Step 6: Final answer
    x = 298.24

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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.