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Finding the Fourth Proportional to 226.86, 340.14 and 149.59

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Solution

The fourth proportional to 226.86, 340.14 and 149.59 is: 224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.86 : 340.14 = 149.59 : x
  2. Step 2: Convert to fraction form
    226.86/340.14 = 149.59/x
  3. Step 3: Cross multiply
    226.86x = 340.14 × 149.59
  4. Step 4: Simplify right side
    226.86x = 50,881.49
  5. Step 5: Solve for x
    x = 50,881.49/226.86
  6. Step 6: Final answer
    x = 224.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.