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Finding the Fourth Proportional to 258.09, 386.54 and 120.83

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Solution

The fourth proportional to 258.09, 386.54 and 120.83 is: 180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.09 : 386.54 = 120.83 : x
  2. Step 2: Convert to fraction form
    258.09/386.54 = 120.83/x
  3. Step 3: Cross multiply
    258.09x = 386.54 × 120.83
  4. Step 4: Simplify right side
    258.09x = 46,703.54
  5. Step 5: Solve for x
    x = 46,703.54/258.09
  6. Step 6: Final answer
    x = 180.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.