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Finding the Fourth Proportional to 492, 738 and 150

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Solution

The fourth proportional to 492, 738 and 150 is: 225

Step by Step Solution

  1. Step 1: Write the proportion equation
    492 : 738 = 150 : x
  2. Step 2: Convert to fraction form
    492/738 = 150/x
  3. Step 3: Cross multiply
    492x = 738 × 150
  4. Step 4: Simplify right side
    492x = 110,700
  5. Step 5: Solve for x
    x = 110,700/492
  6. Step 6: Final answer
    x = 225

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