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Finding the Fourth Proportional to 186.68, 279.96 and 76.99

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Solution

The fourth proportional to 186.68, 279.96 and 76.99 is: 115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.68 : 279.96 = 76.99 : x
  2. Step 2: Convert to fraction form
    186.68/279.96 = 76.99/x
  3. Step 3: Cross multiply
    186.68x = 279.96 × 76.99
  4. Step 4: Simplify right side
    186.68x = 21,553.83
  5. Step 5: Solve for x
    x = 21,553.83/186.68
  6. Step 6: Final answer
    x = 115.46

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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.