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Finding the Fourth Proportional to 378.20, 521.82 and 212.42

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Solution

The fourth proportional to 378.20, 521.82 and 212.42 is: 293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.20 : 521.82 = 212.42 : x
  2. Step 2: Convert to fraction form
    378.20/521.82 = 212.42/x
  3. Step 3: Cross multiply
    378.20x = 521.82 × 212.42
  4. Step 4: Simplify right side
    378.20x = 110,842.40
  5. Step 5: Solve for x
    x = 110,842.40/378.20
  6. Step 6: Final answer
    x = 293.08

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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.