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Finding the Fourth Proportional to 508.53, 762.56 and 161.80

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Solution

The fourth proportional to 508.53, 762.56 and 161.80 is: 242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.53 : 762.56 = 161.80 : x
  2. Step 2: Convert to fraction form
    508.53/762.56 = 161.80/x
  3. Step 3: Cross multiply
    508.53x = 762.56 × 161.80
  4. Step 4: Simplify right side
    508.53x = 123,378.40
  5. Step 5: Solve for x
    x = 123,378.40/508.53
  6. Step 6: Final answer
    x = 242.62

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