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Finding the Fourth Proportional to 201.80, 278.20 and 167.60

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Solution

The fourth proportional to 201.80, 278.20 and 167.60 is: 231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.80 : 278.20 = 167.60 : x
  2. Step 2: Convert to fraction form
    201.80/278.20 = 167.60/x
  3. Step 3: Cross multiply
    201.80x = 278.20 × 167.60
  4. Step 4: Simplify right side
    201.80x = 46,626.32
  5. Step 5: Solve for x
    x = 46,626.32/201.80
  6. Step 6: Final answer
    x = 231.05

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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.