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Finding the Fourth Proportional to 201.73, 278.31 and 131.77

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Solution

The fourth proportional to 201.73, 278.31 and 131.77 is: 181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.73 : 278.31 = 131.77 : x
  2. Step 2: Convert to fraction form
    201.73/278.31 = 131.77/x
  3. Step 3: Cross multiply
    201.73x = 278.31 × 131.77
  4. Step 4: Simplify right side
    201.73x = 36,671.20
  5. Step 5: Solve for x
    x = 36,671.20/201.73
  6. Step 6: Final answer
    x = 181.78

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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.