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Finding the Fourth Proportional to 186.41, 279.62 and 83.67

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Solution

The fourth proportional to 186.41, 279.62 and 83.67 is: 125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.41 : 279.62 = 83.67 : x
  2. Step 2: Convert to fraction form
    186.41/279.62 = 83.67/x
  3. Step 3: Cross multiply
    186.41x = 279.62 × 83.67
  4. Step 4: Simplify right side
    186.41x = 23,395.81
  5. Step 5: Solve for x
    x = 23,395.81/186.41
  6. Step 6: Final answer
    x = 125.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.