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Finding the Fourth Proportional to 240.96, 359.54 and 226.26

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Solution

The fourth proportional to 240.96, 359.54 and 226.26 is: 337.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.96 : 359.54 = 226.26 : x
  2. Step 2: Convert to fraction form
    240.96/359.54 = 226.26/x
  3. Step 3: Cross multiply
    240.96x = 359.54 × 226.26
  4. Step 4: Simplify right side
    240.96x = 81,351.43
  5. Step 5: Solve for x
    x = 81,351.43/240.96
  6. Step 6: Final answer
    x = 337.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.