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Finding the Fourth Proportional to 186.30, 279.61 and 134.97

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Solution

The fourth proportional to 186.30, 279.61 and 134.97 is: 202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.30 : 279.61 = 134.97 : x
  2. Step 2: Convert to fraction form
    186.30/279.61 = 134.97/x
  3. Step 3: Cross multiply
    186.30x = 279.61 × 134.97
  4. Step 4: Simplify right side
    186.30x = 37,738.62
  5. Step 5: Solve for x
    x = 37,738.62/186.30
  6. Step 6: Final answer
    x = 202.57

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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.