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Finding the Fourth Proportional to 226.99, 339.67 and 149.64

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Solution

The fourth proportional to 226.99, 339.67 and 149.64 is: 223.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.99 : 339.67 = 149.64 : x
  2. Step 2: Convert to fraction form
    226.99/339.67 = 149.64/x
  3. Step 3: Cross multiply
    226.99x = 339.67 × 149.64
  4. Step 4: Simplify right side
    226.99x = 50,828.22
  5. Step 5: Solve for x
    x = 50,828.22/226.99
  6. Step 6: Final answer
    x = 223.92

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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.