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Finding the Fourth Proportional to 235.43, 353.24 and 105.42

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Solution

The fourth proportional to 235.43, 353.24 and 105.42 is: 158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.43 : 353.24 = 105.42 : x
  2. Step 2: Convert to fraction form
    235.43/353.24 = 105.42/x
  3. Step 3: Cross multiply
    235.43x = 353.24 × 105.42
  4. Step 4: Simplify right side
    235.43x = 37,240.15
  5. Step 5: Solve for x
    x = 37,240.15/235.43
  6. Step 6: Final answer
    x = 158.18

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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.