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Finding the Fourth Proportional to 258.86, 388.14 and 128.60

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Solution

The fourth proportional to 258.86, 388.14 and 128.60 is: 192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.86 : 388.14 = 128.60 : x
  2. Step 2: Convert to fraction form
    258.86/388.14 = 128.60/x
  3. Step 3: Cross multiply
    258.86x = 388.14 × 128.60
  4. Step 4: Simplify right side
    258.86x = 49,914.80
  5. Step 5: Solve for x
    x = 49,914.80/258.86
  6. Step 6: Final answer
    x = 192.83

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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.