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Finding the Fourth Proportional to 507.23, 760.89 and 142.02

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Solution

The fourth proportional to 507.23, 760.89 and 142.02 is: 213.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.23 : 760.89 = 142.02 : x
  2. Step 2: Convert to fraction form
    507.23/760.89 = 142.02/x
  3. Step 3: Cross multiply
    507.23x = 760.89 × 142.02
  4. Step 4: Simplify right side
    507.23x = 108,059.90
  5. Step 5: Solve for x
    x = 108,059.90/507.23
  6. Step 6: Final answer
    x = 213.04

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