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Finding the Fourth Proportional to 156, 233.91 and 138

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Solution

The fourth proportional to 156, 233.91 and 138 is: 206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156 : 233.91 = 138 : x
  2. Step 2: Convert to fraction form
    156/233.91 = 138/x
  3. Step 3: Cross multiply
    156x = 233.91 × 138
  4. Step 4: Simplify right side
    156x = 32,279.58
  5. Step 5: Solve for x
    x = 32,279.58/156
  6. Step 6: Final answer
    x = 206.92

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