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Finding the Fourth Proportional to 138.50, 206.83 and 123.38

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Solution

The fourth proportional to 138.50, 206.83 and 123.38 is: 184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.50 : 206.83 = 123.38 : x
  2. Step 2: Convert to fraction form
    138.50/206.83 = 123.38/x
  3. Step 3: Cross multiply
    138.50x = 206.83 × 123.38
  4. Step 4: Simplify right side
    138.50x = 25,517.34
  5. Step 5: Solve for x
    x = 25,517.34/138.50
  6. Step 6: Final answer
    x = 184.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.