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Finding the Fourth Proportional to 180.53, 270.32 and 98.99

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Solution

The fourth proportional to 180.53, 270.32 and 98.99 is: 148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.53 : 270.32 = 98.99 : x
  2. Step 2: Convert to fraction form
    180.53/270.32 = 98.99/x
  3. Step 3: Cross multiply
    180.53x = 270.32 × 98.99
  4. Step 4: Simplify right side
    180.53x = 26,757.13
  5. Step 5: Solve for x
    x = 26,757.13/180.53
  6. Step 6: Final answer
    x = 148.22

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