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Finding the Fourth Proportional to 209.16, 313.55 and 100.89

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Solution

The fourth proportional to 209.16, 313.55 and 100.89 is: 151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.16 : 313.55 = 100.89 : x
  2. Step 2: Convert to fraction form
    209.16/313.55 = 100.89/x
  3. Step 3: Cross multiply
    209.16x = 313.55 × 100.89
  4. Step 4: Simplify right side
    209.16x = 31,633.56
  5. Step 5: Solve for x
    x = 31,633.56/209.16
  6. Step 6: Final answer
    x = 151.24

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