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Finding the Fourth Proportional to 257.67, 386.50 and 120.73

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Solution

The fourth proportional to 257.67, 386.50 and 120.73 is: 181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.67 : 386.50 = 120.73 : x
  2. Step 2: Convert to fraction form
    257.67/386.50 = 120.73/x
  3. Step 3: Cross multiply
    257.67x = 386.50 × 120.73
  4. Step 4: Simplify right side
    257.67x = 46,662.15
  5. Step 5: Solve for x
    x = 46,662.15/257.67
  6. Step 6: Final answer
    x = 181.09

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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.