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Finding the Fourth Proportional to 236.27, 352.75 and 213.23

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Solution

The fourth proportional to 236.27, 352.75 and 213.23 is: 318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.27 : 352.75 = 213.23 : x
  2. Step 2: Convert to fraction form
    236.27/352.75 = 213.23/x
  3. Step 3: Cross multiply
    236.27x = 352.75 × 213.23
  4. Step 4: Simplify right side
    236.27x = 75,216.88
  5. Step 5: Solve for x
    x = 75,216.88/236.27
  6. Step 6: Final answer
    x = 318.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.