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Finding the Fourth Proportional to 258.19, 386.94 and 180.73

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Solution

The fourth proportional to 258.19, 386.94 and 180.73 is: 270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.19 : 386.94 = 180.73 : x
  2. Step 2: Convert to fraction form
    258.19/386.94 = 180.73/x
  3. Step 3: Cross multiply
    258.19x = 386.94 × 180.73
  4. Step 4: Simplify right side
    258.19x = 69,932.83
  5. Step 5: Solve for x
    x = 69,932.83/258.19
  6. Step 6: Final answer
    x = 270.86

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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.