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Finding the Fourth Proportional to 258.23, 356.46 and 179.54

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Solution

The fourth proportional to 258.23, 356.46 and 179.54 is: 247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.23 : 356.46 = 179.54 : x
  2. Step 2: Convert to fraction form
    258.23/356.46 = 179.54/x
  3. Step 3: Cross multiply
    258.23x = 356.46 × 179.54
  4. Step 4: Simplify right side
    258.23x = 63,997.05
  5. Step 5: Solve for x
    x = 63,997.05/258.23
  6. Step 6: Final answer
    x = 247.83

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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.