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Finding the Fourth Proportional to 201.27, 277.76 and 113.94

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Solution

The fourth proportional to 201.27, 277.76 and 113.94 is: 157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.27 : 277.76 = 113.94 : x
  2. Step 2: Convert to fraction form
    201.27/277.76 = 113.94/x
  3. Step 3: Cross multiply
    201.27x = 277.76 × 113.94
  4. Step 4: Simplify right side
    201.27x = 31,647.97
  5. Step 5: Solve for x
    x = 31,647.97/201.27
  6. Step 6: Final answer
    x = 157.24

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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.