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Finding the Fourth Proportional to 523.95, 785.91 and 139.20

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Solution

The fourth proportional to 523.95, 785.91 and 139.20 is: 208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.95 : 785.91 = 139.20 : x
  2. Step 2: Convert to fraction form
    523.95/785.91 = 139.20/x
  3. Step 3: Cross multiply
    523.95x = 785.91 × 139.20
  4. Step 4: Simplify right side
    523.95x = 109,398.67
  5. Step 5: Solve for x
    x = 109,398.67/523.95
  6. Step 6: Final answer
    x = 208.80

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