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Finding the Fourth Proportional to 167.30, 250.83 and 80.50

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Solution

The fourth proportional to 167.30, 250.83 and 80.50 is: 120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.30 : 250.83 = 80.50 : x
  2. Step 2: Convert to fraction form
    167.30/250.83 = 80.50/x
  3. Step 3: Cross multiply
    167.30x = 250.83 × 80.50
  4. Step 4: Simplify right side
    167.30x = 20,191.41
  5. Step 5: Solve for x
    x = 20,191.41/167.30
  6. Step 6: Final answer
    x = 120.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.