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Finding the Fourth Proportional to 256.73, 384.97 and 110.43

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Solution

The fourth proportional to 256.73, 384.97 and 110.43 is: 165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.73 : 384.97 = 110.43 : x
  2. Step 2: Convert to fraction form
    256.73/384.97 = 110.43/x
  3. Step 3: Cross multiply
    256.73x = 384.97 × 110.43
  4. Step 4: Simplify right side
    256.73x = 42,512.24
  5. Step 5: Solve for x
    x = 42,512.24/256.73
  6. Step 6: Final answer
    x = 165.59

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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.