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Finding the Fourth Proportional to 258.91, 388.67 and 181.55

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Solution

The fourth proportional to 258.91, 388.67 and 181.55 is: 272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.91 : 388.67 = 181.55 : x
  2. Step 2: Convert to fraction form
    258.91/388.67 = 181.55/x
  3. Step 3: Cross multiply
    258.91x = 388.67 × 181.55
  4. Step 4: Simplify right side
    258.91x = 70,563.10
  5. Step 5: Solve for x
    x = 70,563.10/258.91
  6. Step 6: Final answer
    x = 272.54

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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.