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Finding the Fourth Proportional to 171.23, 256.64 and 98.94

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Solution

The fourth proportional to 171.23, 256.64 and 98.94 is: 148.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.23 : 256.64 = 98.94 : x
  2. Step 2: Convert to fraction form
    171.23/256.64 = 98.94/x
  3. Step 3: Cross multiply
    171.23x = 256.64 × 98.94
  4. Step 4: Simplify right side
    171.23x = 25,391.96
  5. Step 5: Solve for x
    x = 25,391.96/171.23
  6. Step 6: Final answer
    x = 148.29

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