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Finding the Fourth Proportional to 652.09, 978.18 and 189.87

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Solution

The fourth proportional to 652.09, 978.18 and 189.87 is: 284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.09 : 978.18 = 189.87 : x
  2. Step 2: Convert to fraction form
    652.09/978.18 = 189.87/x
  3. Step 3: Cross multiply
    652.09x = 978.18 × 189.87
  4. Step 4: Simplify right side
    652.09x = 185,727.04
  5. Step 5: Solve for x
    x = 185,727.04/652.09
  6. Step 6: Final answer
    x = 284.82

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