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Finding the Fourth Proportional to 201.67, 278.22 and 136.06

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Solution

The fourth proportional to 201.67, 278.22 and 136.06 is: 187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.67 : 278.22 = 136.06 : x
  2. Step 2: Convert to fraction form
    201.67/278.22 = 136.06/x
  3. Step 3: Cross multiply
    201.67x = 278.22 × 136.06
  4. Step 4: Simplify right side
    201.67x = 37,854.43
  5. Step 5: Solve for x
    x = 37,854.43/201.67
  6. Step 6: Final answer
    x = 187.71

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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.