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Finding the Fourth Proportional to 174.83, 262.17 and 113.94

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Solution

The fourth proportional to 174.83, 262.17 and 113.94 is: 170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.83 : 262.17 = 113.94 : x
  2. Step 2: Convert to fraction form
    174.83/262.17 = 113.94/x
  3. Step 3: Cross multiply
    174.83x = 262.17 × 113.94
  4. Step 4: Simplify right side
    174.83x = 29,871.65
  5. Step 5: Solve for x
    x = 29,871.65/174.83
  6. Step 6: Final answer
    x = 170.87

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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.