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Finding the Fourth Proportional to 208.05, 286.32 and 161.24

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Solution

The fourth proportional to 208.05, 286.32 and 161.24 is: 221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.05 : 286.32 = 161.24 : x
  2. Step 2: Convert to fraction form
    208.05/286.32 = 161.24/x
  3. Step 3: Cross multiply
    208.05x = 286.32 × 161.24
  4. Step 4: Simplify right side
    208.05x = 46,165.43
  5. Step 5: Solve for x
    x = 46,165.43/208.05
  6. Step 6: Final answer
    x = 221.90

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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.