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Finding the Fourth Proportional to 233.98, 323.20 and 164.27

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Solution

The fourth proportional to 233.98, 323.20 and 164.27 is: 226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.98 : 323.20 = 164.27 : x
  2. Step 2: Convert to fraction form
    233.98/323.20 = 164.27/x
  3. Step 3: Cross multiply
    233.98x = 323.20 × 164.27
  4. Step 4: Simplify right side
    233.98x = 53,093.08
  5. Step 5: Solve for x
    x = 53,093.08/233.98
  6. Step 6: Final answer
    x = 226.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.