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Finding the Fourth Proportional to 138.80, 208.38 and 120.96

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Solution

The fourth proportional to 138.80, 208.38 and 120.96 is: 181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.80 : 208.38 = 120.96 : x
  2. Step 2: Convert to fraction form
    138.80/208.38 = 120.96/x
  3. Step 3: Cross multiply
    138.80x = 208.38 × 120.96
  4. Step 4: Simplify right side
    138.80x = 25,205.64
  5. Step 5: Solve for x
    x = 25,205.64/138.80
  6. Step 6: Final answer
    x = 181.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.