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Finding the Fourth Proportional to 252.72, 378.27 and 213.84

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Solution

The fourth proportional to 252.72, 378.27 and 213.84 is: 320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.72 : 378.27 = 213.84 : x
  2. Step 2: Convert to fraction form
    252.72/378.27 = 213.84/x
  3. Step 3: Cross multiply
    252.72x = 378.27 × 213.84
  4. Step 4: Simplify right side
    252.72x = 80,889.26
  5. Step 5: Solve for x
    x = 80,889.26/252.72
  6. Step 6: Final answer
    x = 320.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.