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Finding the Fourth Proportional to 226.33, 312.48 and 142.43

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Solution

The fourth proportional to 226.33, 312.48 and 142.43 is: 196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.33 : 312.48 = 142.43 : x
  2. Step 2: Convert to fraction form
    226.33/312.48 = 142.43/x
  3. Step 3: Cross multiply
    226.33x = 312.48 × 142.43
  4. Step 4: Simplify right side
    226.33x = 44,504.96
  5. Step 5: Solve for x
    x = 44,504.96/226.33
  6. Step 6: Final answer
    x = 196.64

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