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Finding the Fourth Proportional to 201.03, 301.86 and 162.57

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Solution

The fourth proportional to 201.03, 301.86 and 162.57 is: 244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.03 : 301.86 = 162.57 : x
  2. Step 2: Convert to fraction form
    201.03/301.86 = 162.57/x
  3. Step 3: Cross multiply
    201.03x = 301.86 × 162.57
  4. Step 4: Simplify right side
    201.03x = 49,073.38
  5. Step 5: Solve for x
    x = 49,073.38/201.03
  6. Step 6: Final answer
    x = 244.11

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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.