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Finding the Fourth Proportional to 201.35, 301.72 and 149.75

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Solution

The fourth proportional to 201.35, 301.72 and 149.75 is: 224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.35 : 301.72 = 149.75 : x
  2. Step 2: Convert to fraction form
    201.35/301.72 = 149.75/x
  3. Step 3: Cross multiply
    201.35x = 301.72 × 149.75
  4. Step 4: Simplify right side
    201.35x = 45,182.10
  5. Step 5: Solve for x
    x = 45,182.10/201.35
  6. Step 6: Final answer
    x = 224.40

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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.