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Finding the Fourth Proportional to 281.13, 421.74 and 116.58

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Solution

The fourth proportional to 281.13, 421.74 and 116.58 is: 174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.13 : 421.74 = 116.58 : x
  2. Step 2: Convert to fraction form
    281.13/421.74 = 116.58/x
  3. Step 3: Cross multiply
    281.13x = 421.74 × 116.58
  4. Step 4: Simplify right side
    281.13x = 49,166.45
  5. Step 5: Solve for x
    x = 49,166.45/281.13
  6. Step 6: Final answer
    x = 174.89

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