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Finding the Fourth Proportional to 201.80, 301.06 and 165.62

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Solution

The fourth proportional to 201.80, 301.06 and 165.62 is: 247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.80 : 301.06 = 165.62 : x
  2. Step 2: Convert to fraction form
    201.80/301.06 = 165.62/x
  3. Step 3: Cross multiply
    201.80x = 301.06 × 165.62
  4. Step 4: Simplify right side
    201.80x = 49,861.56
  5. Step 5: Solve for x
    x = 49,861.56/201.80
  6. Step 6: Final answer
    x = 247.08

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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.