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Finding the Fourth Proportional to 509.94, 765.15 and 185.22

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Solution

The fourth proportional to 509.94, 765.15 and 185.22 is: 277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.94 : 765.15 = 185.22 : x
  2. Step 2: Convert to fraction form
    509.94/765.15 = 185.22/x
  3. Step 3: Cross multiply
    509.94x = 765.15 × 185.22
  4. Step 4: Simplify right side
    509.94x = 141,721.08
  5. Step 5: Solve for x
    x = 141,721.08/509.94
  6. Step 6: Final answer
    x = 277.92

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