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Finding the Fourth Proportional to 201.86, 278.83 and 167.03

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Solution

The fourth proportional to 201.86, 278.83 and 167.03 is: 230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.86 : 278.83 = 167.03 : x
  2. Step 2: Convert to fraction form
    201.86/278.83 = 167.03/x
  3. Step 3: Cross multiply
    201.86x = 278.83 × 167.03
  4. Step 4: Simplify right side
    201.86x = 46,571.90
  5. Step 5: Solve for x
    x = 46,571.90/201.86
  6. Step 6: Final answer
    x = 230.72

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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.