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Finding the Fourth Proportional to 466.23, 698.85 and 157.80

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Solution

The fourth proportional to 466.23, 698.85 and 157.80 is: 236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.23 : 698.85 = 157.80 : x
  2. Step 2: Convert to fraction form
    466.23/698.85 = 157.80/x
  3. Step 3: Cross multiply
    466.23x = 698.85 × 157.80
  4. Step 4: Simplify right side
    466.23x = 110,278.53
  5. Step 5: Solve for x
    x = 110,278.53/466.23
  6. Step 6: Final answer
    x = 236.53

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