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Finding the Fourth Proportional to 210, 315.02 and 185.85

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Solution

The fourth proportional to 210, 315.02 and 185.85 is: 278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210 : 315.02 = 185.85 : x
  2. Step 2: Convert to fraction form
    210/315.02 = 185.85/x
  3. Step 3: Cross multiply
    210x = 315.02 × 185.85
  4. Step 4: Simplify right side
    210x = 58,546.47
  5. Step 5: Solve for x
    x = 58,546.47/210
  6. Step 6: Final answer
    x = 278.79

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