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Finding the Fourth Proportional to 286.89, 395.76 and 181.99

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Solution

The fourth proportional to 286.89, 395.76 and 181.99 is: 251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.89 : 395.76 = 181.99 : x
  2. Step 2: Convert to fraction form
    286.89/395.76 = 181.99/x
  3. Step 3: Cross multiply
    286.89x = 395.76 × 181.99
  4. Step 4: Simplify right side
    286.89x = 72,024.36
  5. Step 5: Solve for x
    x = 72,024.36/286.89
  6. Step 6: Final answer
    x = 251.05

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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.