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Finding the Fourth Proportional to 258.06, 386.85 and 103.95

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Solution

The fourth proportional to 258.06, 386.85 and 103.95 is: 155.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.06 : 386.85 = 103.95 : x
  2. Step 2: Convert to fraction form
    258.06/386.85 = 103.95/x
  3. Step 3: Cross multiply
    258.06x = 386.85 × 103.95
  4. Step 4: Simplify right side
    258.06x = 40,213.06
  5. Step 5: Solve for x
    x = 40,213.06/258.06
  6. Step 6: Final answer
    x = 155.83

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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.