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Finding the Fourth Proportional to 314.73, 471.20 and 160.32

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Solution

The fourth proportional to 314.73, 471.20 and 160.32 is: 240.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.73 : 471.20 = 160.32 : x
  2. Step 2: Convert to fraction form
    314.73/471.20 = 160.32/x
  3. Step 3: Cross multiply
    314.73x = 471.20 × 160.32
  4. Step 4: Simplify right side
    314.73x = 75,541.98
  5. Step 5: Solve for x
    x = 75,541.98/314.73
  6. Step 6: Final answer
    x = 240.02

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