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Finding the Fourth Proportional to 226.99, 313.08 and 161.53

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Solution

The fourth proportional to 226.99, 313.08 and 161.53 is: 222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.99 : 313.08 = 161.53 : x
  2. Step 2: Convert to fraction form
    226.99/313.08 = 161.53/x
  3. Step 3: Cross multiply
    226.99x = 313.08 × 161.53
  4. Step 4: Simplify right side
    226.99x = 50,571.81
  5. Step 5: Solve for x
    x = 50,571.81/226.99
  6. Step 6: Final answer
    x = 222.79

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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.