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Finding the Fourth Proportional to 226.26, 312.25 and 137.72

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Solution

The fourth proportional to 226.26, 312.25 and 137.72 is: 190.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.26 : 312.25 = 137.72 : x
  2. Step 2: Convert to fraction form
    226.26/312.25 = 137.72/x
  3. Step 3: Cross multiply
    226.26x = 312.25 × 137.72
  4. Step 4: Simplify right side
    226.26x = 43,003.51
  5. Step 5: Solve for x
    x = 43,003.51/226.26
  6. Step 6: Final answer
    x = 190.06

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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.