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Finding the Fourth Proportional to 186.93, 258.09 and 120.63

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Solution

The fourth proportional to 186.93, 258.09 and 120.63 is: 166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.93 : 258.09 = 120.63 : x
  2. Step 2: Convert to fraction form
    186.93/258.09 = 120.63/x
  3. Step 3: Cross multiply
    186.93x = 258.09 × 120.63
  4. Step 4: Simplify right side
    186.93x = 31,133.40
  5. Step 5: Solve for x
    x = 31,133.40/186.93
  6. Step 6: Final answer
    x = 166.55

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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.