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Finding the Fourth Proportional to 258.89, 388.26 and 121.89

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Solution

The fourth proportional to 258.89, 388.26 and 121.89 is: 182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.89 : 388.26 = 121.89 : x
  2. Step 2: Convert to fraction form
    258.89/388.26 = 121.89/x
  3. Step 3: Cross multiply
    258.89x = 388.26 × 121.89
  4. Step 4: Simplify right side
    258.89x = 47,325.01
  5. Step 5: Solve for x
    x = 47,325.01/258.89
  6. Step 6: Final answer
    x = 182.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.