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Finding the Fourth Proportional to 256.78, 353.60 and 173.86

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Solution

The fourth proportional to 256.78, 353.60 and 173.86 is: 239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.78 : 353.60 = 173.86 : x
  2. Step 2: Convert to fraction form
    256.78/353.60 = 173.86/x
  3. Step 3: Cross multiply
    256.78x = 353.60 × 173.86
  4. Step 4: Simplify right side
    256.78x = 61,476.90
  5. Step 5: Solve for x
    x = 61,476.90/256.78
  6. Step 6: Final answer
    x = 239.41

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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.