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Finding the Fourth Proportional to 258.68, 388.14 and 121.81

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Solution

The fourth proportional to 258.68, 388.14 and 121.81 is: 182.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.68 : 388.14 = 121.81 : x
  2. Step 2: Convert to fraction form
    258.68/388.14 = 121.81/x
  3. Step 3: Cross multiply
    258.68x = 388.14 × 121.81
  4. Step 4: Simplify right side
    258.68x = 47,279.33
  5. Step 5: Solve for x
    x = 47,279.33/258.68
  6. Step 6: Final answer
    x = 182.77

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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.