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Finding the Fourth Proportional to 234.86, 323.70 and 208.04

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Solution

The fourth proportional to 234.86, 323.70 and 208.04 is: 286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.86 : 323.70 = 208.04 : x
  2. Step 2: Convert to fraction form
    234.86/323.70 = 208.04/x
  3. Step 3: Cross multiply
    234.86x = 323.70 × 208.04
  4. Step 4: Simplify right side
    234.86x = 67,342.55
  5. Step 5: Solve for x
    x = 67,342.55/234.86
  6. Step 6: Final answer
    x = 286.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.