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Finding the Fourth Proportional to 226.62, 313.30 and 171.48

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Solution

The fourth proportional to 226.62, 313.30 and 171.48 is: 237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.62 : 313.30 = 171.48 : x
  2. Step 2: Convert to fraction form
    226.62/313.30 = 171.48/x
  3. Step 3: Cross multiply
    226.62x = 313.30 × 171.48
  4. Step 4: Simplify right side
    226.62x = 53,724.68
  5. Step 5: Solve for x
    x = 53,724.68/226.62
  6. Step 6: Final answer
    x = 237.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.