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Finding the Fourth Proportional to 201.22, 277.86 and 157.48

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Solution

The fourth proportional to 201.22, 277.86 and 157.48 is: 217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.22 : 277.86 = 157.48 : x
  2. Step 2: Convert to fraction form
    201.22/277.86 = 157.48/x
  3. Step 3: Cross multiply
    201.22x = 277.86 × 157.48
  4. Step 4: Simplify right side
    201.22x = 43,757.39
  5. Step 5: Solve for x
    x = 43,757.39/201.22
  6. Step 6: Final answer
    x = 217.46

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