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Finding the Fourth Proportional to 187.97, 282 and 106.77

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Solution

The fourth proportional to 187.97, 282 and 106.77 is: 160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.97 : 282 = 106.77 : x
  2. Step 2: Convert to fraction form
    187.97/282 = 106.77/x
  3. Step 3: Cross multiply
    187.97x = 282 × 106.77
  4. Step 4: Simplify right side
    187.97x = 30,109.14
  5. Step 5: Solve for x
    x = 30,109.14/187.97
  6. Step 6: Final answer
    x = 160.18

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