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Finding the Fourth Proportional to 235.14, 323.97 and 213.30

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Solution

The fourth proportional to 235.14, 323.97 and 213.30 is: 293.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.14 : 323.97 = 213.30 : x
  2. Step 2: Convert to fraction form
    235.14/323.97 = 213.30/x
  3. Step 3: Cross multiply
    235.14x = 323.97 × 213.30
  4. Step 4: Simplify right side
    235.14x = 69,102.80
  5. Step 5: Solve for x
    x = 69,102.80/235.14
  6. Step 6: Final answer
    x = 293.88

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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.