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Finding the Fourth Proportional to 186.82, 257.64 and 121.25

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Solution

The fourth proportional to 186.82, 257.64 and 121.25 is: 167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.82 : 257.64 = 121.25 : x
  2. Step 2: Convert to fraction form
    186.82/257.64 = 121.25/x
  3. Step 3: Cross multiply
    186.82x = 257.64 × 121.25
  4. Step 4: Simplify right side
    186.82x = 31,238.85
  5. Step 5: Solve for x
    x = 31,238.85/186.82
  6. Step 6: Final answer
    x = 167.21

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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.