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Finding the Fourth Proportional to 286.92, 395.91 and 170.46

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Solution

The fourth proportional to 286.92, 395.91 and 170.46 is: 235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.92 : 395.91 = 170.46 : x
  2. Step 2: Convert to fraction form
    286.92/395.91 = 170.46/x
  3. Step 3: Cross multiply
    286.92x = 395.91 × 170.46
  4. Step 4: Simplify right side
    286.92x = 67,486.82
  5. Step 5: Solve for x
    x = 67,486.82/286.92
  6. Step 6: Final answer
    x = 235.21

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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.