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Finding the Fourth Proportional to 186.06, 255.99 and 180.96

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Solution

The fourth proportional to 186.06, 255.99 and 180.96 is: 248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.06 : 255.99 = 180.96 : x
  2. Step 2: Convert to fraction form
    186.06/255.99 = 180.96/x
  3. Step 3: Cross multiply
    186.06x = 255.99 × 180.96
  4. Step 4: Simplify right side
    186.06x = 46,323.95
  5. Step 5: Solve for x
    x = 46,323.95/186.06
  6. Step 6: Final answer
    x = 248.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.