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Finding the Fourth Proportional to 186.09, 277.25 and 181.18

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Solution

The fourth proportional to 186.09, 277.25 and 181.18 is: 269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.09 : 277.25 = 181.18 : x
  2. Step 2: Convert to fraction form
    186.09/277.25 = 181.18/x
  3. Step 3: Cross multiply
    186.09x = 277.25 × 181.18
  4. Step 4: Simplify right side
    186.09x = 50,232.16
  5. Step 5: Solve for x
    x = 50,232.16/186.09
  6. Step 6: Final answer
    x = 269.93

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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.