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Finding the Fourth Proportional to 505.78, 758.60 and 140.58

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Solution

The fourth proportional to 505.78, 758.60 and 140.58 is: 210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.78 : 758.60 = 140.58 : x
  2. Step 2: Convert to fraction form
    505.78/758.60 = 140.58/x
  3. Step 3: Cross multiply
    505.78x = 758.60 × 140.58
  4. Step 4: Simplify right side
    505.78x = 106,643.99
  5. Step 5: Solve for x
    x = 106,643.99/505.78
  6. Step 6: Final answer
    x = 210.85

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