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Finding the Fourth Proportional to 236.86, 355.64 and 212.27

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Solution

The fourth proportional to 236.86, 355.64 and 212.27 is: 318.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.86 : 355.64 = 212.27 : x
  2. Step 2: Convert to fraction form
    236.86/355.64 = 212.27/x
  3. Step 3: Cross multiply
    236.86x = 355.64 × 212.27
  4. Step 4: Simplify right side
    236.86x = 75,488.86
  5. Step 5: Solve for x
    x = 75,488.86/236.86
  6. Step 6: Final answer
    x = 318.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.