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Finding the Fourth Proportional to 186.26, 279.52 and 76.66

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Solution

The fourth proportional to 186.26, 279.52 and 76.66 is: 115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.26 : 279.52 = 76.66 : x
  2. Step 2: Convert to fraction form
    186.26/279.52 = 76.66/x
  3. Step 3: Cross multiply
    186.26x = 279.52 × 76.66
  4. Step 4: Simplify right side
    186.26x = 21,428.00
  5. Step 5: Solve for x
    x = 21,428.00/186.26
  6. Step 6: Final answer
    x = 115.04

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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.