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Finding the Fourth Proportional to 256, 353.34 and 168.76

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Solution

The fourth proportional to 256, 353.34 and 168.76 is: 232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 353.34 = 168.76 : x
  2. Step 2: Convert to fraction form
    256/353.34 = 168.76/x
  3. Step 3: Cross multiply
    256x = 353.34 × 168.76
  4. Step 4: Simplify right side
    256x = 59,629.66
  5. Step 5: Solve for x
    x = 59,629.66/256
  6. Step 6: Final answer
    x = 232.93

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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.