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Finding the Fourth Proportional to 233.96, 323.00 and 164.00

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Solution

The fourth proportional to 233.96, 323.00 and 164.00 is: 226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.96 : 323.00 = 164.00 : x
  2. Step 2: Convert to fraction form
    233.96/323.00 = 164.00/x
  3. Step 3: Cross multiply
    233.96x = 323.00 × 164.00
  4. Step 4: Simplify right side
    233.96x = 52,969.57
  5. Step 5: Solve for x
    x = 52,969.57/233.96
  6. Step 6: Final answer
    x = 226.41

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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.