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Finding the Fourth Proportional to 186.98, 258.07 and 120.54

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Solution

The fourth proportional to 186.98, 258.07 and 120.54 is: 166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.98 : 258.07 = 120.54 : x
  2. Step 2: Convert to fraction form
    186.98/258.07 = 120.54/x
  3. Step 3: Cross multiply
    186.98x = 258.07 × 120.54
  4. Step 4: Simplify right side
    186.98x = 31,107.95
  5. Step 5: Solve for x
    x = 31,107.95/186.98
  6. Step 6: Final answer
    x = 166.37

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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.