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Finding the Fourth Proportional to 310.62, 465.93 and 164.70

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Solution

The fourth proportional to 310.62, 465.93 and 164.70 is: 247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.62 : 465.93 = 164.70 : x
  2. Step 2: Convert to fraction form
    310.62/465.93 = 164.70/x
  3. Step 3: Cross multiply
    310.62x = 465.93 × 164.70
  4. Step 4: Simplify right side
    310.62x = 76,738.67
  5. Step 5: Solve for x
    x = 76,738.67/310.62
  6. Step 6: Final answer
    x = 247.05

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