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Finding the Fourth Proportional to 508.02, 762.06 and 142.80

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Solution

The fourth proportional to 508.02, 762.06 and 142.80 is: 214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.02 : 762.06 = 142.80 : x
  2. Step 2: Convert to fraction form
    508.02/762.06 = 142.80/x
  3. Step 3: Cross multiply
    508.02x = 762.06 × 142.80
  4. Step 4: Simplify right side
    508.02x = 108,822.17
  5. Step 5: Solve for x
    x = 108,822.17/508.02
  6. Step 6: Final answer
    x = 214.21

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