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Finding the Fourth Proportional to 208.26, 310.89 and 194.61

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Solution

The fourth proportional to 208.26, 310.89 and 194.61 is: 290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.26 : 310.89 = 194.61 : x
  2. Step 2: Convert to fraction form
    208.26/310.89 = 194.61/x
  3. Step 3: Cross multiply
    208.26x = 310.89 × 194.61
  4. Step 4: Simplify right side
    208.26x = 60,502.30
  5. Step 5: Solve for x
    x = 60,502.30/208.26
  6. Step 6: Final answer
    x = 290.51

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