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Finding the Fourth Proportional to 236.24, 323.12 and 232.46

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Solution

The fourth proportional to 236.24, 323.12 and 232.46 is: 317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.24 : 323.12 = 232.46 : x
  2. Step 2: Convert to fraction form
    236.24/323.12 = 232.46/x
  3. Step 3: Cross multiply
    236.24x = 323.12 × 232.46
  4. Step 4: Simplify right side
    236.24x = 75,113.06
  5. Step 5: Solve for x
    x = 75,113.06/236.24
  6. Step 6: Final answer
    x = 317.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.