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Finding the Fourth Proportional to 294, 441.24 and 180

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Solution

The fourth proportional to 294, 441.24 and 180 is: 270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294 : 441.24 = 180 : x
  2. Step 2: Convert to fraction form
    294/441.24 = 180/x
  3. Step 3: Cross multiply
    294x = 441.24 × 180
  4. Step 4: Simplify right side
    294x = 79,423.20
  5. Step 5: Solve for x
    x = 79,423.20/294
  6. Step 6: Final answer
    x = 270.15

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