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Finding the Fourth Proportional to 256.14, 353.42 and 157.88

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Solution

The fourth proportional to 256.14, 353.42 and 157.88 is: 217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.14 : 353.42 = 157.88 : x
  2. Step 2: Convert to fraction form
    256.14/353.42 = 157.88/x
  3. Step 3: Cross multiply
    256.14x = 353.42 × 157.88
  4. Step 4: Simplify right side
    256.14x = 55,797.95
  5. Step 5: Solve for x
    x = 55,797.95/256.14
  6. Step 6: Final answer
    x = 217.84

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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.