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Finding the Fourth Proportional to 174.57, 262.25 and 171.73

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Solution

The fourth proportional to 174.57, 262.25 and 171.73 is: 257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.57 : 262.25 = 171.73 : x
  2. Step 2: Convert to fraction form
    174.57/262.25 = 171.73/x
  3. Step 3: Cross multiply
    174.57x = 262.25 × 171.73
  4. Step 4: Simplify right side
    174.57x = 45,036.19
  5. Step 5: Solve for x
    x = 45,036.19/174.57
  6. Step 6: Final answer
    x = 257.98

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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.