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Finding the Fourth Proportional to 378.23, 566.13 and 213.26

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Solution

The fourth proportional to 378.23, 566.13 and 213.26 is: 319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.23 : 566.13 = 213.26 : x
  2. Step 2: Convert to fraction form
    378.23/566.13 = 213.26/x
  3. Step 3: Cross multiply
    378.23x = 566.13 × 213.26
  4. Step 4: Simplify right side
    378.23x = 120,732.88
  5. Step 5: Solve for x
    x = 120,732.88/378.23
  6. Step 6: Final answer
    x = 319.20

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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.