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Finding the Fourth Proportional to 226.68, 340.22 and 165.93

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Solution

The fourth proportional to 226.68, 340.22 and 165.93 is: 249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.68 : 340.22 = 165.93 : x
  2. Step 2: Convert to fraction form
    226.68/340.22 = 165.93/x
  3. Step 3: Cross multiply
    226.68x = 340.22 × 165.93
  4. Step 4: Simplify right side
    226.68x = 56,452.70
  5. Step 5: Solve for x
    x = 56,452.70/226.68
  6. Step 6: Final answer
    x = 249.04

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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.