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Finding the Fourth Proportional to 226.99, 340.44 and 165.97

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Solution

The fourth proportional to 226.99, 340.44 and 165.97 is: 248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.99 : 340.44 = 165.97 : x
  2. Step 2: Convert to fraction form
    226.99/340.44 = 165.97/x
  3. Step 3: Cross multiply
    226.99x = 340.44 × 165.97
  4. Step 4: Simplify right side
    226.99x = 56,502.83
  5. Step 5: Solve for x
    x = 56,502.83/226.99
  6. Step 6: Final answer
    x = 248.92

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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.