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Finding the Fourth Proportional to 186.76, 280.46 and 162.46

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Solution

The fourth proportional to 186.76, 280.46 and 162.46 is: 243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.76 : 280.46 = 162.46 : x
  2. Step 2: Convert to fraction form
    186.76/280.46 = 162.46/x
  3. Step 3: Cross multiply
    186.76x = 280.46 × 162.46
  4. Step 4: Simplify right side
    186.76x = 45,563.53
  5. Step 5: Solve for x
    x = 45,563.53/186.76
  6. Step 6: Final answer
    x = 243.97

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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.