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Finding the Fourth Proportional to 286.86, 395.86 and 160.82

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Solution

The fourth proportional to 286.86, 395.86 and 160.82 is: 221.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.86 : 395.86 = 160.82 : x
  2. Step 2: Convert to fraction form
    286.86/395.86 = 160.82/x
  3. Step 3: Cross multiply
    286.86x = 395.86 × 160.82
  4. Step 4: Simplify right side
    286.86x = 63,662.21
  5. Step 5: Solve for x
    x = 63,662.21/286.86
  6. Step 6: Final answer
    x = 221.93

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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.