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Finding the Fourth Proportional to 288.71, 433.10 and 142.46

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Solution

The fourth proportional to 288.71, 433.10 and 142.46 is: 213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.71 : 433.10 = 142.46 : x
  2. Step 2: Convert to fraction form
    288.71/433.10 = 142.46/x
  3. Step 3: Cross multiply
    288.71x = 433.10 × 142.46
  4. Step 4: Simplify right side
    288.71x = 61,699.24
  5. Step 5: Solve for x
    x = 61,699.24/288.71
  6. Step 6: Final answer
    x = 213.71

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