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Finding the Fourth Proportional to 208, 286.86 and 171.40

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Solution

The fourth proportional to 208, 286.86 and 171.40 is: 236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208 : 286.86 = 171.40 : x
  2. Step 2: Convert to fraction form
    208/286.86 = 171.40/x
  3. Step 3: Cross multiply
    208x = 286.86 × 171.40
  4. Step 4: Simplify right side
    208x = 49,167.80
  5. Step 5: Solve for x
    x = 49,167.80/208
  6. Step 6: Final answer
    x = 236.38

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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.