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Finding the Fourth Proportional to 235.11, 323.64 and 213.24

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Solution

The fourth proportional to 235.11, 323.64 and 213.24 is: 293.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.11 : 323.64 = 213.24 : x
  2. Step 2: Convert to fraction form
    235.11/323.64 = 213.24/x
  3. Step 3: Cross multiply
    235.11x = 323.64 × 213.24
  4. Step 4: Simplify right side
    235.11x = 69,012.99
  5. Step 5: Solve for x
    x = 69,012.99/235.11
  6. Step 6: Final answer
    x = 293.53

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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.