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Finding the Fourth Proportional to 212.96, 294 and 180.56

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Solution

The fourth proportional to 212.96, 294 and 180.56 is: 249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.96 : 294 = 180.56 : x
  2. Step 2: Convert to fraction form
    212.96/294 = 180.56/x
  3. Step 3: Cross multiply
    212.96x = 294 × 180.56
  4. Step 4: Simplify right side
    212.96x = 53,084.64
  5. Step 5: Solve for x
    x = 53,084.64/212.96
  6. Step 6: Final answer
    x = 249.27

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