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Finding the Fourth Proportional to 186.76, 281.40 and 167.12

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Solution

The fourth proportional to 186.76, 281.40 and 167.12 is: 251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.76 : 281.40 = 167.12 : x
  2. Step 2: Convert to fraction form
    186.76/281.40 = 167.12/x
  3. Step 3: Cross multiply
    186.76x = 281.40 × 167.12
  4. Step 4: Simplify right side
    186.76x = 47,027.57
  5. Step 5: Solve for x
    x = 47,027.57/186.76
  6. Step 6: Final answer
    x = 251.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.