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Finding the Fourth Proportional to 256.85, 354.46 and 140.41

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Solution

The fourth proportional to 256.85, 354.46 and 140.41 is: 193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.85 : 354.46 = 140.41 : x
  2. Step 2: Convert to fraction form
    256.85/354.46 = 140.41/x
  3. Step 3: Cross multiply
    256.85x = 354.46 × 140.41
  4. Step 4: Simplify right side
    256.85x = 49,770.49
  5. Step 5: Solve for x
    x = 49,770.49/256.85
  6. Step 6: Final answer
    x = 193.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.