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Finding the Fourth Proportional to 258.92, 388.38 and 96.57

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Solution

The fourth proportional to 258.92, 388.38 and 96.57 is: 144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.92 : 388.38 = 96.57 : x
  2. Step 2: Convert to fraction form
    258.92/388.38 = 96.57/x
  3. Step 3: Cross multiply
    258.92x = 388.38 × 96.57
  4. Step 4: Simplify right side
    258.92x = 37,506.22
  5. Step 5: Solve for x
    x = 37,506.22/258.92
  6. Step 6: Final answer
    x = 144.86

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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.