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Finding the Fourth Proportional to 256.12, 353.45 and 157.86

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Solution

The fourth proportional to 256.12, 353.45 and 157.86 is: 217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.12 : 353.45 = 157.86 : x
  2. Step 2: Convert to fraction form
    256.12/353.45 = 157.86/x
  3. Step 3: Cross multiply
    256.12x = 353.45 × 157.86
  4. Step 4: Simplify right side
    256.12x = 55,795.62
  5. Step 5: Solve for x
    x = 55,795.62/256.12
  6. Step 6: Final answer
    x = 217.85

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