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Finding the Fourth Proportional to 186.85, 280.59 and 166.33

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Solution

The fourth proportional to 186.85, 280.59 and 166.33 is: 249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.85 : 280.59 = 166.33 : x
  2. Step 2: Convert to fraction form
    186.85/280.59 = 166.33/x
  3. Step 3: Cross multiply
    186.85x = 280.59 × 166.33
  4. Step 4: Simplify right side
    186.85x = 46,670.53
  5. Step 5: Solve for x
    x = 46,670.53/186.85
  6. Step 6: Final answer
    x = 249.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.