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Finding the Fourth Proportional to 201.35, 277.97 and 157.23

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Solution

The fourth proportional to 201.35, 277.97 and 157.23 is: 217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.35 : 277.97 = 157.23 : x
  2. Step 2: Convert to fraction form
    201.35/277.97 = 157.23/x
  3. Step 3: Cross multiply
    201.35x = 277.97 × 157.23
  4. Step 4: Simplify right side
    201.35x = 43,704.44
  5. Step 5: Solve for x
    x = 43,704.44/201.35
  6. Step 6: Final answer
    x = 217.05

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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.