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Finding the Fourth Proportional to 201.56, 277.97 and 157.82

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Solution

The fourth proportional to 201.56, 277.97 and 157.82 is: 217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.56 : 277.97 = 157.82 : x
  2. Step 2: Convert to fraction form
    201.56/277.97 = 157.82/x
  3. Step 3: Cross multiply
    201.56x = 277.97 × 157.82
  4. Step 4: Simplify right side
    201.56x = 43,867.05
  5. Step 5: Solve for x
    x = 43,867.05/201.56
  6. Step 6: Final answer
    x = 217.64

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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.