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Finding the Fourth Proportional to 226.99, 340.23 and 80.62

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Solution

The fourth proportional to 226.99, 340.23 and 80.62 is: 120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.99 : 340.23 = 80.62 : x
  2. Step 2: Convert to fraction form
    226.99/340.23 = 80.62/x
  3. Step 3: Cross multiply
    226.99x = 340.23 × 80.62
  4. Step 4: Simplify right side
    226.99x = 27,429.34
  5. Step 5: Solve for x
    x = 27,429.34/226.99
  6. Step 6: Final answer
    x = 120.84

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Why These Related Problems?

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