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Finding the Fourth Proportional to 208.26, 311.55 and 174.09

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Solution

The fourth proportional to 208.26, 311.55 and 174.09 is: 260.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.26 : 311.55 = 174.09 : x
  2. Step 2: Convert to fraction form
    208.26/311.55 = 174.09/x
  3. Step 3: Cross multiply
    208.26x = 311.55 × 174.09
  4. Step 4: Simplify right side
    208.26x = 54,237.74
  5. Step 5: Solve for x
    x = 54,237.74/208.26
  6. Step 6: Final answer
    x = 260.43

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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.