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Finding the Fourth Proportional to 201.82, 301.97 and 123.46

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Solution

The fourth proportional to 201.82, 301.97 and 123.46 is: 184.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.82 : 301.97 = 123.46 : x
  2. Step 2: Convert to fraction form
    201.82/301.97 = 123.46/x
  3. Step 3: Cross multiply
    201.82x = 301.97 × 123.46
  4. Step 4: Simplify right side
    201.82x = 37,281.22
  5. Step 5: Solve for x
    x = 37,281.22/201.82
  6. Step 6: Final answer
    x = 184.73

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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.