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Finding the Fourth Proportional to 256.06, 384.80 and 205.23

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Solution

The fourth proportional to 256.06, 384.80 and 205.23 is: 308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.06 : 384.80 = 205.23 : x
  2. Step 2: Convert to fraction form
    256.06/384.80 = 205.23/x
  3. Step 3: Cross multiply
    256.06x = 384.80 × 205.23
  4. Step 4: Simplify right side
    256.06x = 78,971.48
  5. Step 5: Solve for x
    x = 78,971.48/256.06
  6. Step 6: Final answer
    x = 308.42

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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.