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Finding the Fourth Proportional to 226.82, 339.46 and 164.93

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Solution

The fourth proportional to 226.82, 339.46 and 164.93 is: 246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.82 : 339.46 = 164.93 : x
  2. Step 2: Convert to fraction form
    226.82/339.46 = 164.93/x
  3. Step 3: Cross multiply
    226.82x = 339.46 × 164.93
  4. Step 4: Simplify right side
    226.82x = 55,985.03
  5. Step 5: Solve for x
    x = 55,985.03/226.82
  6. Step 6: Final answer
    x = 246.82

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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.