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Finding the Fourth Proportional to 208.20, 286.94 and 149.88

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Solution

The fourth proportional to 208.20, 286.94 and 149.88 is: 206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.20 : 286.94 = 149.88 : x
  2. Step 2: Convert to fraction form
    208.20/286.94 = 149.88/x
  3. Step 3: Cross multiply
    208.20x = 286.94 × 149.88
  4. Step 4: Simplify right side
    208.20x = 43,006.57
  5. Step 5: Solve for x
    x = 43,006.57/208.20
  6. Step 6: Final answer
    x = 206.56

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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.