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Finding the Fourth Proportional to 208.31, 286.93 and 173.27

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Solution

The fourth proportional to 208.31, 286.93 and 173.27 is: 238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.31 : 286.93 = 173.27 : x
  2. Step 2: Convert to fraction form
    208.31/286.93 = 173.27/x
  3. Step 3: Cross multiply
    208.31x = 286.93 × 173.27
  4. Step 4: Simplify right side
    208.31x = 49,714.49
  5. Step 5: Solve for x
    x = 49,714.49/208.31
  6. Step 6: Final answer
    x = 238.66

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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.