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Finding the Fourth Proportional to 286.32, 395.30 and 212.55

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Solution

The fourth proportional to 286.32, 395.30 and 212.55 is: 293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.32 : 395.30 = 212.55 : x
  2. Step 2: Convert to fraction form
    286.32/395.30 = 212.55/x
  3. Step 3: Cross multiply
    286.32x = 395.30 × 212.55
  4. Step 4: Simplify right side
    286.32x = 84,021.55
  5. Step 5: Solve for x
    x = 84,021.55/286.32
  6. Step 6: Final answer
    x = 293.45

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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.