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Finding the Fourth Proportional to 456.08, 684.34 and 182.70

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Solution

The fourth proportional to 456.08, 684.34 and 182.70 is: 274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.08 : 684.34 = 182.70 : x
  2. Step 2: Convert to fraction form
    456.08/684.34 = 182.70/x
  3. Step 3: Cross multiply
    456.08x = 684.34 × 182.70
  4. Step 4: Simplify right side
    456.08x = 125,028.92
  5. Step 5: Solve for x
    x = 125,028.92/456.08
  6. Step 6: Final answer
    x = 274.14

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