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Finding the Fourth Proportional to 508.28, 762.46 and 161.64

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Solution

The fourth proportional to 508.28, 762.46 and 161.64 is: 242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.28 : 762.46 = 161.64 : x
  2. Step 2: Convert to fraction form
    508.28/762.46 = 161.64/x
  3. Step 3: Cross multiply
    508.28x = 762.46 × 161.64
  4. Step 4: Simplify right side
    508.28x = 123,243.63
  5. Step 5: Solve for x
    x = 123,243.63/508.28
  6. Step 6: Final answer
    x = 242.47

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