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Finding the Fourth Proportional to 286.40, 395.22 and 186.84

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Solution

The fourth proportional to 286.40, 395.22 and 186.84 is: 257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.40 : 395.22 = 186.84 : x
  2. Step 2: Convert to fraction form
    286.40/395.22 = 186.84/x
  3. Step 3: Cross multiply
    286.40x = 395.22 × 186.84
  4. Step 4: Simplify right side
    286.40x = 73,842.90
  5. Step 5: Solve for x
    x = 73,842.90/286.40
  6. Step 6: Final answer
    x = 257.84

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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.