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Finding the Fourth Proportional to 186.83, 258.16 and 180.82

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Solution

The fourth proportional to 186.83, 258.16 and 180.82 is: 249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.83 : 258.16 = 180.82 : x
  2. Step 2: Convert to fraction form
    186.83/258.16 = 180.82/x
  3. Step 3: Cross multiply
    186.83x = 258.16 × 180.82
  4. Step 4: Simplify right side
    186.83x = 46,680.49
  5. Step 5: Solve for x
    x = 46,680.49/186.83
  6. Step 6: Final answer
    x = 249.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.