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Finding the Fourth Proportional to 286, 394.68 and 212.68

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Solution

The fourth proportional to 286, 394.68 and 212.68 is: 293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286 : 394.68 = 212.68 : x
  2. Step 2: Convert to fraction form
    286/394.68 = 212.68/x
  3. Step 3: Cross multiply
    286x = 394.68 × 212.68
  4. Step 4: Simplify right side
    286x = 83,940.54
  5. Step 5: Solve for x
    x = 83,940.54/286
  6. Step 6: Final answer
    x = 293.50

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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.