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Finding the Fourth Proportional to 186.12, 277.77 and 181.26

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Solution

The fourth proportional to 186.12, 277.77 and 181.26 is: 270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.12 : 277.77 = 181.26 : x
  2. Step 2: Convert to fraction form
    186.12/277.77 = 181.26/x
  3. Step 3: Cross multiply
    186.12x = 277.77 × 181.26
  4. Step 4: Simplify right side
    186.12x = 50,349.27
  5. Step 5: Solve for x
    x = 50,349.27/186.12
  6. Step 6: Final answer
    x = 270.52

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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.