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Finding the Fourth Proportional to 256.41, 384.38 and 213.43

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Solution

The fourth proportional to 256.41, 384.38 and 213.43 is: 319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.41 : 384.38 = 213.43 : x
  2. Step 2: Convert to fraction form
    256.41/384.38 = 213.43/x
  3. Step 3: Cross multiply
    256.41x = 384.38 × 213.43
  4. Step 4: Simplify right side
    256.41x = 82,035.23
  5. Step 5: Solve for x
    x = 82,035.23/256.41
  6. Step 6: Final answer
    x = 319.94

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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.