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Finding the Fourth Proportional to 175.28, 262.44 and 110.96

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Solution

The fourth proportional to 175.28, 262.44 and 110.96 is: 166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.28 : 262.44 = 110.96 : x
  2. Step 2: Convert to fraction form
    175.28/262.44 = 110.96/x
  3. Step 3: Cross multiply
    175.28x = 262.44 × 110.96
  4. Step 4: Simplify right side
    175.28x = 29,120.34
  5. Step 5: Solve for x
    x = 29,120.34/175.28
  6. Step 6: Final answer
    x = 166.14

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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.