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Finding the Fourth Proportional to 233.97, 323.10 and 201.03

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Solution

The fourth proportional to 233.97, 323.10 and 201.03 is: 277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.97 : 323.10 = 201.03 : x
  2. Step 2: Convert to fraction form
    233.97/323.10 = 201.03/x
  3. Step 3: Cross multiply
    233.97x = 323.10 × 201.03
  4. Step 4: Simplify right side
    233.97x = 64,952.79
  5. Step 5: Solve for x
    x = 64,952.79/233.97
  6. Step 6: Final answer
    x = 277.61

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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.