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Finding the Fourth Proportional to 208.06, 286.88 and 168.61

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Solution

The fourth proportional to 208.06, 286.88 and 168.61 is: 232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.06 : 286.88 = 168.61 : x
  2. Step 2: Convert to fraction form
    208.06/286.88 = 168.61/x
  3. Step 3: Cross multiply
    208.06x = 286.88 × 168.61
  4. Step 4: Simplify right side
    208.06x = 48,368.56
  5. Step 5: Solve for x
    x = 48,368.56/208.06
  6. Step 6: Final answer
    x = 232.48

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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.