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Finding the Fourth Proportional to 456.56, 684.87 and 148.39

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Solution

The fourth proportional to 456.56, 684.87 and 148.39 is: 222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.56 : 684.87 = 148.39 : x
  2. Step 2: Convert to fraction form
    456.56/684.87 = 148.39/x
  3. Step 3: Cross multiply
    456.56x = 684.87 × 148.39
  4. Step 4: Simplify right side
    456.56x = 101,627.86
  5. Step 5: Solve for x
    x = 101,627.86/456.56
  6. Step 6: Final answer
    x = 222.59

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