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Finding the Fourth Proportional to 175.46, 262.91 and 111.20

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Solution

The fourth proportional to 175.46, 262.91 and 111.20 is: 166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.46 : 262.91 = 111.20 : x
  2. Step 2: Convert to fraction form
    175.46/262.91 = 111.20/x
  3. Step 3: Cross multiply
    175.46x = 262.91 × 111.20
  4. Step 4: Simplify right side
    175.46x = 29,233.72
  5. Step 5: Solve for x
    x = 29,233.72/175.46
  6. Step 6: Final answer
    x = 166.62

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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.