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Finding the Fourth Proportional to 280.61, 420.15 and 182.81

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Solution

The fourth proportional to 280.61, 420.15 and 182.81 is: 273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.61 : 420.15 = 182.81 : x
  2. Step 2: Convert to fraction form
    280.61/420.15 = 182.81/x
  3. Step 3: Cross multiply
    280.61x = 420.15 × 182.81
  4. Step 4: Simplify right side
    280.61x = 76,808.67
  5. Step 5: Solve for x
    x = 76,808.67/280.61
  6. Step 6: Final answer
    x = 273.73

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