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Finding the Fourth Proportional to 235.61, 353.24 and 113.61

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Solution

The fourth proportional to 235.61, 353.24 and 113.61 is: 170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.61 : 353.24 = 113.61 : x
  2. Step 2: Convert to fraction form
    235.61/353.24 = 113.61/x
  3. Step 3: Cross multiply
    235.61x = 353.24 × 113.61
  4. Step 4: Simplify right side
    235.61x = 40,131.03
  5. Step 5: Solve for x
    x = 40,131.03/235.61
  6. Step 6: Final answer
    x = 170.33

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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.