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Finding the Fourth Proportional to 505.85, 758.63 and 140.55

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Solution

The fourth proportional to 505.85, 758.63 and 140.55 is: 210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.85 : 758.63 = 140.55 : x
  2. Step 2: Convert to fraction form
    505.85/758.63 = 140.55/x
  3. Step 3: Cross multiply
    505.85x = 758.63 × 140.55
  4. Step 4: Simplify right side
    505.85x = 106,624.74
  5. Step 5: Solve for x
    x = 106,624.74/505.85
  6. Step 6: Final answer
    x = 210.79

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