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Finding the Fourth Proportional to 256.08, 353.68 and 189.60

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Solution

The fourth proportional to 256.08, 353.68 and 189.60 is: 261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.08 : 353.68 = 189.60 : x
  2. Step 2: Convert to fraction form
    256.08/353.68 = 189.60/x
  3. Step 3: Cross multiply
    256.08x = 353.68 × 189.60
  4. Step 4: Simplify right side
    256.08x = 67,057.73
  5. Step 5: Solve for x
    x = 67,057.73/256.08
  6. Step 6: Final answer
    x = 261.86

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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.