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Finding the Fourth Proportional to 286.13, 395.10 and 212.78

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Solution

The fourth proportional to 286.13, 395.10 and 212.78 is: 293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.13 : 395.10 = 212.78 : x
  2. Step 2: Convert to fraction form
    286.13/395.10 = 212.78/x
  3. Step 3: Cross multiply
    286.13x = 395.10 × 212.78
  4. Step 4: Simplify right side
    286.13x = 84,068.74
  5. Step 5: Solve for x
    x = 84,068.74/286.13
  6. Step 6: Final answer
    x = 293.81

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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.