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Finding the Fourth Proportional to 171.05, 256.64 and 144.72

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Solution

The fourth proportional to 171.05, 256.64 and 144.72 is: 217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.05 : 256.64 = 144.72 : x
  2. Step 2: Convert to fraction form
    171.05/256.64 = 144.72/x
  3. Step 3: Cross multiply
    171.05x = 256.64 × 144.72
  4. Step 4: Simplify right side
    171.05x = 37,140.22
  5. Step 5: Solve for x
    x = 37,140.22/171.05
  6. Step 6: Final answer
    x = 217.14

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