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Finding the Fourth Proportional to 286.22, 394.74 and 248.81

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Solution

The fourth proportional to 286.22, 394.74 and 248.81 is: 343.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.22 : 394.74 = 248.81 : x
  2. Step 2: Convert to fraction form
    286.22/394.74 = 248.81/x
  3. Step 3: Cross multiply
    286.22x = 394.74 × 248.81
  4. Step 4: Simplify right side
    286.22x = 98,214.77
  5. Step 5: Solve for x
    x = 98,214.77/286.22
  6. Step 6: Final answer
    x = 343.15

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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.