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Finding the Fourth Proportional to 175.44, 262.96 and 114.61

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Solution

The fourth proportional to 175.44, 262.96 and 114.61 is: 171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.44 : 262.96 = 114.61 : x
  2. Step 2: Convert to fraction form
    175.44/262.96 = 114.61/x
  3. Step 3: Cross multiply
    175.44x = 262.96 × 114.61
  4. Step 4: Simplify right side
    175.44x = 30,137.85
  5. Step 5: Solve for x
    x = 30,137.85/175.44
  6. Step 6: Final answer
    x = 171.78

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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.