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Finding the Fourth Proportional to 208.14, 286.83 and 149.82

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Solution

The fourth proportional to 208.14, 286.83 and 149.82 is: 206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.14 : 286.83 = 149.82 : x
  2. Step 2: Convert to fraction form
    208.14/286.83 = 149.82/x
  3. Step 3: Cross multiply
    208.14x = 286.83 × 149.82
  4. Step 4: Simplify right side
    208.14x = 42,972.87
  5. Step 5: Solve for x
    x = 42,972.87/208.14
  6. Step 6: Final answer
    x = 206.46

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Why These Related Problems?

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