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Finding the Fourth Proportional to 209.59, 314.18 and 87.82

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Solution

The fourth proportional to 209.59, 314.18 and 87.82 is: 131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.59 : 314.18 = 87.82 : x
  2. Step 2: Convert to fraction form
    209.59/314.18 = 87.82/x
  3. Step 3: Cross multiply
    209.59x = 314.18 × 87.82
  4. Step 4: Simplify right side
    209.59x = 27,590.39
  5. Step 5: Solve for x
    x = 27,590.39/209.59
  6. Step 6: Final answer
    x = 131.64

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