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Finding the Fourth Proportional to 456.78, 685.11 and 148.85

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Solution

The fourth proportional to 456.78, 685.11 and 148.85 is: 223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.78 : 685.11 = 148.85 : x
  2. Step 2: Convert to fraction form
    456.78/685.11 = 148.85/x
  3. Step 3: Cross multiply
    456.78x = 685.11 × 148.85
  4. Step 4: Simplify right side
    456.78x = 101,975.20
  5. Step 5: Solve for x
    x = 101,975.20/456.78
  6. Step 6: Final answer
    x = 223.25

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