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Finding the Fourth Proportional to 256.41, 353.86 and 197.46

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Solution

The fourth proportional to 256.41, 353.86 and 197.46 is: 272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.41 : 353.86 = 197.46 : x
  2. Step 2: Convert to fraction form
    256.41/353.86 = 197.46/x
  3. Step 3: Cross multiply
    256.41x = 353.86 × 197.46
  4. Step 4: Simplify right side
    256.41x = 69,872.70
  5. Step 5: Solve for x
    x = 69,872.70/256.41
  6. Step 6: Final answer
    x = 272.50

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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.