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Finding the Fourth Proportional to 259.26, 357.81 and 148.75

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Solution

The fourth proportional to 259.26, 357.81 and 148.75 is: 205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.26 : 357.81 = 148.75 : x
  2. Step 2: Convert to fraction form
    259.26/357.81 = 148.75/x
  3. Step 3: Cross multiply
    259.26x = 357.81 × 148.75
  4. Step 4: Simplify right side
    259.26x = 53,223.49
  5. Step 5: Solve for x
    x = 53,223.49/259.26
  6. Step 6: Final answer
    x = 205.29

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