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Finding the Fourth Proportional to 235.72, 353.01 and 199.27

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Solution

The fourth proportional to 235.72, 353.01 and 199.27 is: 298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.72 : 353.01 = 199.27 : x
  2. Step 2: Convert to fraction form
    235.72/353.01 = 199.27/x
  3. Step 3: Cross multiply
    235.72x = 353.01 × 199.27
  4. Step 4: Simplify right side
    235.72x = 70,344.30
  5. Step 5: Solve for x
    x = 70,344.30/235.72
  6. Step 6: Final answer
    x = 298.42

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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.