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Finding the Fourth Proportional to 201.84, 278.72 and 167.21

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Solution

The fourth proportional to 201.84, 278.72 and 167.21 is: 230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.84 : 278.72 = 167.21 : x
  2. Step 2: Convert to fraction form
    201.84/278.72 = 167.21/x
  3. Step 3: Cross multiply
    201.84x = 278.72 × 167.21
  4. Step 4: Simplify right side
    201.84x = 46,604.21
  5. Step 5: Solve for x
    x = 46,604.21/201.84
  6. Step 6: Final answer
    x = 230.90

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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.