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Finding the Fourth Proportional to 150.78, 225.90 and 109.98

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Solution

The fourth proportional to 150.78, 225.90 and 109.98 is: 164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.78 : 225.90 = 109.98 : x
  2. Step 2: Convert to fraction form
    150.78/225.90 = 109.98/x
  3. Step 3: Cross multiply
    150.78x = 225.90 × 109.98
  4. Step 4: Simplify right side
    150.78x = 24,844.48
  5. Step 5: Solve for x
    x = 24,844.48/150.78
  6. Step 6: Final answer
    x = 164.77

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