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Finding the Fourth Proportional to 258.14, 386.93 and 121.07

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Solution

The fourth proportional to 258.14, 386.93 and 121.07 is: 181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.14 : 386.93 = 121.07 : x
  2. Step 2: Convert to fraction form
    258.14/386.93 = 121.07/x
  3. Step 3: Cross multiply
    258.14x = 386.93 × 121.07
  4. Step 4: Simplify right side
    258.14x = 46,843.68
  5. Step 5: Solve for x
    x = 46,843.68/258.14
  6. Step 6: Final answer
    x = 181.47

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Why These Related Problems?

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