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Finding the Fourth Proportional to 186.42, 277.87 and 181.29

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Solution

The fourth proportional to 186.42, 277.87 and 181.29 is: 270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.42 : 277.87 = 181.29 : x
  2. Step 2: Convert to fraction form
    186.42/277.87 = 181.29/x
  3. Step 3: Cross multiply
    186.42x = 277.87 × 181.29
  4. Step 4: Simplify right side
    186.42x = 50,375.05
  5. Step 5: Solve for x
    x = 50,375.05/186.42
  6. Step 6: Final answer
    x = 270.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.