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Finding the Fourth Proportional to 164, 245.82 and 72.78

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Solution

The fourth proportional to 164, 245.82 and 72.78 is: 109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164 : 245.82 = 72.78 : x
  2. Step 2: Convert to fraction form
    164/245.82 = 72.78/x
  3. Step 3: Cross multiply
    164x = 245.82 × 72.78
  4. Step 4: Simplify right side
    164x = 17,890.78
  5. Step 5: Solve for x
    x = 17,890.78/164
  6. Step 6: Final answer
    x = 109.09

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