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Finding the Fourth Proportional to 226.99, 313.30 and 133.75

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Solution

The fourth proportional to 226.99, 313.30 and 133.75 is: 184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.99 : 313.30 = 133.75 : x
  2. Step 2: Convert to fraction form
    226.99/313.30 = 133.75/x
  3. Step 3: Cross multiply
    226.99x = 313.30 × 133.75
  4. Step 4: Simplify right side
    226.99x = 41,903.88
  5. Step 5: Solve for x
    x = 41,903.88/226.99
  6. Step 6: Final answer
    x = 184.61

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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.