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Finding the Fourth Proportional to 186.80, 280.60 and 180.65

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Solution

The fourth proportional to 186.80, 280.60 and 180.65 is: 271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.80 : 280.60 = 180.65 : x
  2. Step 2: Convert to fraction form
    186.80/280.60 = 180.65/x
  3. Step 3: Cross multiply
    186.80x = 280.60 × 180.65
  4. Step 4: Simplify right side
    186.80x = 50,691.69
  5. Step 5: Solve for x
    x = 50,691.69/186.80
  6. Step 6: Final answer
    x = 271.36

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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.