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Finding the Fourth Proportional to 208.04, 312.22 and 161.80

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Solution

The fourth proportional to 208.04, 312.22 and 161.80 is: 242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.04 : 312.22 = 161.80 : x
  2. Step 2: Convert to fraction form
    208.04/312.22 = 161.80/x
  3. Step 3: Cross multiply
    208.04x = 312.22 × 161.80
  4. Step 4: Simplify right side
    208.04x = 50,517.20
  5. Step 5: Solve for x
    x = 50,517.20/208.04
  6. Step 6: Final answer
    x = 242.82

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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.