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Finding the Fourth Proportional to 174.24, 262.89 and 173.79

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Solution

The fourth proportional to 174.24, 262.89 and 173.79 is: 262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.24 : 262.89 = 173.79 : x
  2. Step 2: Convert to fraction form
    174.24/262.89 = 173.79/x
  3. Step 3: Cross multiply
    174.24x = 262.89 × 173.79
  4. Step 4: Simplify right side
    174.24x = 45,687.65
  5. Step 5: Solve for x
    x = 45,687.65/174.24
  6. Step 6: Final answer
    x = 262.21

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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.