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Finding the Fourth Proportional to 378.23, 521.92 and 212.50

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Solution

The fourth proportional to 378.23, 521.92 and 212.50 is: 293.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.23 : 521.92 = 212.50 : x
  2. Step 2: Convert to fraction form
    378.23/521.92 = 212.50/x
  3. Step 3: Cross multiply
    378.23x = 521.92 × 212.50
  4. Step 4: Simplify right side
    378.23x = 110,906.94
  5. Step 5: Solve for x
    x = 110,906.94/378.23
  6. Step 6: Final answer
    x = 293.23

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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.