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Finding the Fourth Proportional to 187.09, 280.07 and 182.67

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Solution

The fourth proportional to 187.09, 280.07 and 182.67 is: 273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.09 : 280.07 = 182.67 : x
  2. Step 2: Convert to fraction form
    187.09/280.07 = 182.67/x
  3. Step 3: Cross multiply
    187.09x = 280.07 × 182.67
  4. Step 4: Simplify right side
    187.09x = 51,160.39
  5. Step 5: Solve for x
    x = 51,160.39/187.09
  6. Step 6: Final answer
    x = 273.45

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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.