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Finding the Fourth Proportional to 209.64, 314.51 and 87.83

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Solution

The fourth proportional to 209.64, 314.51 and 87.83 is: 131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.64 : 314.51 = 87.83 : x
  2. Step 2: Convert to fraction form
    209.64/314.51 = 87.83/x
  3. Step 3: Cross multiply
    209.64x = 314.51 × 87.83
  4. Step 4: Simplify right side
    209.64x = 27,623.76
  5. Step 5: Solve for x
    x = 27,623.76/209.64
  6. Step 6: Final answer
    x = 131.77

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