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Finding the Fourth Proportional to 312.80, 468.84 and 158.40

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Solution

The fourth proportional to 312.80, 468.84 and 158.40 is: 237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.80 : 468.84 = 158.40 : x
  2. Step 2: Convert to fraction form
    312.80/468.84 = 158.40/x
  3. Step 3: Cross multiply
    312.80x = 468.84 × 158.40
  4. Step 4: Simplify right side
    312.80x = 74,264.26
  5. Step 5: Solve for x
    x = 74,264.26/312.80
  6. Step 6: Final answer
    x = 237.42

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