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Finding the Fourth Proportional to 340.41, 510.64 and 157.85

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Solution

The fourth proportional to 340.41, 510.64 and 157.85 is: 236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.41 : 510.64 = 157.85 : x
  2. Step 2: Convert to fraction form
    340.41/510.64 = 157.85/x
  3. Step 3: Cross multiply
    340.41x = 510.64 × 157.85
  4. Step 4: Simplify right side
    340.41x = 80,605.36
  5. Step 5: Solve for x
    x = 80,605.36/340.41
  6. Step 6: Final answer
    x = 236.79

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