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Finding the Fourth Proportional to 138.30, 201.99 and 138.30

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Solution

The fourth proportional to 138.30, 201.99 and 138.30 is: 201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.30 : 201.99 = 138.30 : x
  2. Step 2: Convert to fraction form
    138.30/201.99 = 138.30/x
  3. Step 3: Cross multiply
    138.30x = 201.99 × 138.30
  4. Step 4: Simplify right side
    138.30x = 27,935.22
  5. Step 5: Solve for x
    x = 27,935.22/138.30
  6. Step 6: Final answer
    x = 201.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.