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Finding the Fourth Proportional to 310.54, 466 and 180.46

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Solution

The fourth proportional to 310.54, 466 and 180.46 is: 270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.54 : 466 = 180.46 : x
  2. Step 2: Convert to fraction form
    310.54/466 = 180.46/x
  3. Step 3: Cross multiply
    310.54x = 466 × 180.46
  4. Step 4: Simplify right side
    310.54x = 84,094.36
  5. Step 5: Solve for x
    x = 84,094.36/310.54
  6. Step 6: Final answer
    x = 270.80

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