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Finding the Fourth Proportional to 186.03, 255.29 and 181.44

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Solution

The fourth proportional to 186.03, 255.29 and 181.44 is: 248.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.03 : 255.29 = 181.44 : x
  2. Step 2: Convert to fraction form
    186.03/255.29 = 181.44/x
  3. Step 3: Cross multiply
    186.03x = 255.29 × 181.44
  4. Step 4: Simplify right side
    186.03x = 46,318.91
  5. Step 5: Solve for x
    x = 46,318.91/186.03
  6. Step 6: Final answer
    x = 248.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.