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Finding the Fourth Proportional to 505.65, 758.31 and 180.95

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Solution

The fourth proportional to 505.65, 758.31 and 180.95 is: 271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.65 : 758.31 = 180.95 : x
  2. Step 2: Convert to fraction form
    505.65/758.31 = 180.95/x
  3. Step 3: Cross multiply
    505.65x = 758.31 × 180.95
  4. Step 4: Simplify right side
    505.65x = 137,212.40
  5. Step 5: Solve for x
    x = 137,212.40/505.65
  6. Step 6: Final answer
    x = 271.36

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