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Finding the Fourth Proportional to 226.83, 339.93 and 165.68

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Solution

The fourth proportional to 226.83, 339.93 and 165.68 is: 248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.83 : 339.93 = 165.68 : x
  2. Step 2: Convert to fraction form
    226.83/339.93 = 165.68/x
  3. Step 3: Cross multiply
    226.83x = 339.93 × 165.68
  4. Step 4: Simplify right side
    226.83x = 56,317.90
  5. Step 5: Solve for x
    x = 56,317.90/226.83
  6. Step 6: Final answer
    x = 248.28

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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.