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Finding the Fourth Proportional to 170.81, 256.64 and 142.13

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Solution

The fourth proportional to 170.81, 256.64 and 142.13 is: 213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.81 : 256.64 = 142.13 : x
  2. Step 2: Convert to fraction form
    170.81/256.64 = 142.13/x
  3. Step 3: Cross multiply
    170.81x = 256.64 × 142.13
  4. Step 4: Simplify right side
    170.81x = 36,475.53
  5. Step 5: Solve for x
    x = 36,475.53/170.81
  6. Step 6: Final answer
    x = 213.54

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