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Finding the Fourth Proportional to 235.91, 353.77 and 173.24

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Solution

The fourth proportional to 235.91, 353.77 and 173.24 is: 259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.91 : 353.77 = 173.24 : x
  2. Step 2: Convert to fraction form
    235.91/353.77 = 173.24/x
  3. Step 3: Cross multiply
    235.91x = 353.77 × 173.24
  4. Step 4: Simplify right side
    235.91x = 61,286.24
  5. Step 5: Solve for x
    x = 61,286.24/235.91
  6. Step 6: Final answer
    x = 259.78

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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.