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Finding the Fourth Proportional to 236.86, 354.61 and 213.64

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Solution

The fourth proportional to 236.86, 354.61 and 213.64 is: 319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.86 : 354.61 = 213.64 : x
  2. Step 2: Convert to fraction form
    236.86/354.61 = 213.64/x
  3. Step 3: Cross multiply
    236.86x = 354.61 × 213.64
  4. Step 4: Simplify right side
    236.86x = 75,758.26
  5. Step 5: Solve for x
    x = 75,758.26/236.86
  6. Step 6: Final answer
    x = 319.85

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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.