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Finding the Fourth Proportional to 378.27, 521.99 and 212.49

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Solution

The fourth proportional to 378.27, 521.99 and 212.49 is: 293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.27 : 521.99 = 212.49 : x
  2. Step 2: Convert to fraction form
    378.27/521.99 = 212.49/x
  3. Step 3: Cross multiply
    378.27x = 521.99 × 212.49
  4. Step 4: Simplify right side
    378.27x = 110,917.66
  5. Step 5: Solve for x
    x = 110,917.66/378.27
  6. Step 6: Final answer
    x = 293.22

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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.