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Finding the Fourth Proportional to 260.16, 389.94 and 97.68

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Solution

The fourth proportional to 260.16, 389.94 and 97.68 is: 146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.16 : 389.94 = 97.68 : x
  2. Step 2: Convert to fraction form
    260.16/389.94 = 97.68/x
  3. Step 3: Cross multiply
    260.16x = 389.94 × 97.68
  4. Step 4: Simplify right side
    260.16x = 38,089.34
  5. Step 5: Solve for x
    x = 38,089.34/260.16
  6. Step 6: Final answer
    x = 146.41

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