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Finding the Fourth Proportional to 187.74, 282.15 and 106.65

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Solution

The fourth proportional to 187.74, 282.15 and 106.65 is: 160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.74 : 282.15 = 106.65 : x
  2. Step 2: Convert to fraction form
    187.74/282.15 = 106.65/x
  3. Step 3: Cross multiply
    187.74x = 282.15 × 106.65
  4. Step 4: Simplify right side
    187.74x = 30,091.30
  5. Step 5: Solve for x
    x = 30,091.30/187.74
  6. Step 6: Final answer
    x = 160.28

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