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Finding the Fourth Proportional to 171.44, 256.70 and 102.64

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Solution

The fourth proportional to 171.44, 256.70 and 102.64 is: 153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.44 : 256.70 = 102.64 : x
  2. Step 2: Convert to fraction form
    171.44/256.70 = 102.64/x
  3. Step 3: Cross multiply
    171.44x = 256.70 × 102.64
  4. Step 4: Simplify right side
    171.44x = 26,347.69
  5. Step 5: Solve for x
    x = 26,347.69/171.44
  6. Step 6: Final answer
    x = 153.68

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