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Finding the Fourth Proportional to 256.79, 354.38 and 197.84

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Solution

The fourth proportional to 256.79, 354.38 and 197.84 is: 273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.79 : 354.38 = 197.84 : x
  2. Step 2: Convert to fraction form
    256.79/354.38 = 197.84/x
  3. Step 3: Cross multiply
    256.79x = 354.38 × 197.84
  4. Step 4: Simplify right side
    256.79x = 70,107.78
  5. Step 5: Solve for x
    x = 70,107.78/256.79
  6. Step 6: Final answer
    x = 273.02

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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.