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Finding the Fourth Proportional to 167.28, 230.62 and 137.80

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Solution

The fourth proportional to 167.28, 230.62 and 137.80 is: 189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.28 : 230.62 = 137.80 : x
  2. Step 2: Convert to fraction form
    167.28/230.62 = 137.80/x
  3. Step 3: Cross multiply
    167.28x = 230.62 × 137.80
  4. Step 4: Simplify right side
    167.28x = 31,779.44
  5. Step 5: Solve for x
    x = 31,779.44/167.28
  6. Step 6: Final answer
    x = 189.98

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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.