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Finding the Fourth Proportional to 186.08, 277.97 and 182.84

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Solution

The fourth proportional to 186.08, 277.97 and 182.84 is: 273.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.08 : 277.97 = 182.84 : x
  2. Step 2: Convert to fraction form
    186.08/277.97 = 182.84/x
  3. Step 3: Cross multiply
    186.08x = 277.97 × 182.84
  4. Step 4: Simplify right side
    186.08x = 50,821.73
  5. Step 5: Solve for x
    x = 50,821.73/186.08
  6. Step 6: Final answer
    x = 273.12

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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.