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Finding the Fourth Proportional to 186.54, 256.82 and 161.97

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Solution

The fourth proportional to 186.54, 256.82 and 161.97 is: 222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.54 : 256.82 = 161.97 : x
  2. Step 2: Convert to fraction form
    186.54/256.82 = 161.97/x
  3. Step 3: Cross multiply
    186.54x = 256.82 × 161.97
  4. Step 4: Simplify right side
    186.54x = 41,597.14
  5. Step 5: Solve for x
    x = 41,597.14/186.54
  6. Step 6: Final answer
    x = 222.99

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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.