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Finding the Fourth Proportional to 258.86, 388.10 and 121.83

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Solution

The fourth proportional to 258.86, 388.10 and 121.83 is: 182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.86 : 388.10 = 121.83 : x
  2. Step 2: Convert to fraction form
    258.86/388.10 = 121.83/x
  3. Step 3: Cross multiply
    258.86x = 388.10 × 121.83
  4. Step 4: Simplify right side
    258.86x = 47,280.39
  5. Step 5: Solve for x
    x = 47,280.39/258.86
  6. Step 6: Final answer
    x = 182.65

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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.