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Finding the Fourth Proportional to 201.42, 278.22 and 149.07

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Solution

The fourth proportional to 201.42, 278.22 and 149.07 is: 205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.42 : 278.22 = 149.07 : x
  2. Step 2: Convert to fraction form
    201.42/278.22 = 149.07/x
  3. Step 3: Cross multiply
    201.42x = 278.22 × 149.07
  4. Step 4: Simplify right side
    201.42x = 41,474.26
  5. Step 5: Solve for x
    x = 41,474.26/201.42
  6. Step 6: Final answer
    x = 205.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.