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Finding the Fourth Proportional to 255.76, 383.64 and 142.48

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Solution

The fourth proportional to 255.76, 383.64 and 142.48 is: 213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.76 : 383.64 = 142.48 : x
  2. Step 2: Convert to fraction form
    255.76/383.64 = 142.48/x
  3. Step 3: Cross multiply
    255.76x = 383.64 × 142.48
  4. Step 4: Simplify right side
    255.76x = 54,661.03
  5. Step 5: Solve for x
    x = 54,661.03/255.76
  6. Step 6: Final answer
    x = 213.72

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