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Finding the Fourth Proportional to 201.51, 301.96 and 149.91

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Solution

The fourth proportional to 201.51, 301.96 and 149.91 is: 224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.51 : 301.96 = 149.91 : x
  2. Step 2: Convert to fraction form
    201.51/301.96 = 149.91/x
  3. Step 3: Cross multiply
    201.51x = 301.96 × 149.91
  4. Step 4: Simplify right side
    201.51x = 45,266.82
  5. Step 5: Solve for x
    x = 45,266.82/201.51
  6. Step 6: Final answer
    x = 224.64

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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.