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Finding the Fourth Proportional to 208.73, 287.84 and 149.61

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Solution

The fourth proportional to 208.73, 287.84 and 149.61 is: 206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.73 : 287.84 = 149.61 : x
  2. Step 2: Convert to fraction form
    208.73/287.84 = 149.61/x
  3. Step 3: Cross multiply
    208.73x = 287.84 × 149.61
  4. Step 4: Simplify right side
    208.73x = 43,064.84
  5. Step 5: Solve for x
    x = 43,064.84/208.73
  6. Step 6: Final answer
    x = 206.32

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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.