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Finding the Fourth Proportional to 174.21, 262.59 and 167.73

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Solution

The fourth proportional to 174.21, 262.59 and 167.73 is: 252.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.21 : 262.59 = 167.73 : x
  2. Step 2: Convert to fraction form
    174.21/262.59 = 167.73/x
  3. Step 3: Cross multiply
    174.21x = 262.59 × 167.73
  4. Step 4: Simplify right side
    174.21x = 44,044.22
  5. Step 5: Solve for x
    x = 44,044.22/174.21
  6. Step 6: Final answer
    x = 252.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.