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Finding the Fourth Proportional to 201.62, 278.33 and 131.78

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Solution

The fourth proportional to 201.62, 278.33 and 131.78 is: 181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.62 : 278.33 = 131.78 : x
  2. Step 2: Convert to fraction form
    201.62/278.33 = 131.78/x
  3. Step 3: Cross multiply
    201.62x = 278.33 × 131.78
  4. Step 4: Simplify right side
    201.62x = 36,676.28
  5. Step 5: Solve for x
    x = 36,676.28/201.62
  6. Step 6: Final answer
    x = 181.91

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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.