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Finding the Fourth Proportional to 256.05, 353.38 and 157.84

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Solution

The fourth proportional to 256.05, 353.38 and 157.84 is: 217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.05 : 353.38 = 157.84 : x
  2. Step 2: Convert to fraction form
    256.05/353.38 = 157.84/x
  3. Step 3: Cross multiply
    256.05x = 353.38 × 157.84
  4. Step 4: Simplify right side
    256.05x = 55,775.73
  5. Step 5: Solve for x
    x = 55,775.73/256.05
  6. Step 6: Final answer
    x = 217.83

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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.