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Finding the Fourth Proportional to 209.04, 313.86 and 180.45

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Solution

The fourth proportional to 209.04, 313.86 and 180.45 is: 270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.04 : 313.86 = 180.45 : x
  2. Step 2: Convert to fraction form
    209.04/313.86 = 180.45/x
  3. Step 3: Cross multiply
    209.04x = 313.86 × 180.45
  4. Step 4: Simplify right side
    209.04x = 56,636.04
  5. Step 5: Solve for x
    x = 56,636.04/209.04
  6. Step 6: Final answer
    x = 270.93

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