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Finding the Fourth Proportional to 186.19, 279.22 and 134.67

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Solution

The fourth proportional to 186.19, 279.22 and 134.67 is: 201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.19 : 279.22 = 134.67 : x
  2. Step 2: Convert to fraction form
    186.19/279.22 = 134.67/x
  3. Step 3: Cross multiply
    186.19x = 279.22 × 134.67
  4. Step 4: Simplify right side
    186.19x = 37,602.56
  5. Step 5: Solve for x
    x = 37,602.56/186.19
  6. Step 6: Final answer
    x = 201.96

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