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Finding the Fourth Proportional to 235.36, 353.09 and 105.31

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Solution

The fourth proportional to 235.36, 353.09 and 105.31 is: 157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.36 : 353.09 = 105.31 : x
  2. Step 2: Convert to fraction form
    235.36/353.09 = 105.31/x
  3. Step 3: Cross multiply
    235.36x = 353.09 × 105.31
  4. Step 4: Simplify right side
    235.36x = 37,183.91
  5. Step 5: Solve for x
    x = 37,183.91/235.36
  6. Step 6: Final answer
    x = 157.99

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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.