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Finding the Fourth Proportional to 208.37, 311.04 and 181.04

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Solution

The fourth proportional to 208.37, 311.04 and 181.04 is: 270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.37 : 311.04 = 181.04 : x
  2. Step 2: Convert to fraction form
    208.37/311.04 = 181.04/x
  3. Step 3: Cross multiply
    208.37x = 311.04 × 181.04
  4. Step 4: Simplify right side
    208.37x = 56,309.13
  5. Step 5: Solve for x
    x = 56,309.13/208.37
  6. Step 6: Final answer
    x = 270.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.