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Finding the Fourth Proportional to 258.09, 386.74 and 121.08

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Solution

The fourth proportional to 258.09, 386.74 and 121.08 is: 181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.09 : 386.74 = 121.08 : x
  2. Step 2: Convert to fraction form
    258.09/386.74 = 121.08/x
  3. Step 3: Cross multiply
    258.09x = 386.74 × 121.08
  4. Step 4: Simplify right side
    258.09x = 46,826.48
  5. Step 5: Solve for x
    x = 46,826.48/258.09
  6. Step 6: Final answer
    x = 181.43

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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.