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Finding the Fourth Proportional to 314.24, 471.38 and 149.70

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Solution

The fourth proportional to 314.24, 471.38 and 149.70 is: 224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.24 : 471.38 = 149.70 : x
  2. Step 2: Convert to fraction form
    314.24/471.38 = 149.70/x
  3. Step 3: Cross multiply
    314.24x = 471.38 × 149.70
  4. Step 4: Simplify right side
    314.24x = 70,565.59
  5. Step 5: Solve for x
    x = 70,565.59/314.24
  6. Step 6: Final answer
    x = 224.56

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