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Finding the Fourth Proportional to 271.89, 375.34 and 208.35

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Solution

The fourth proportional to 271.89, 375.34 and 208.35 is: 287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.89 : 375.34 = 208.35 : x
  2. Step 2: Convert to fraction form
    271.89/375.34 = 208.35/x
  3. Step 3: Cross multiply
    271.89x = 375.34 × 208.35
  4. Step 4: Simplify right side
    271.89x = 78,202.09
  5. Step 5: Solve for x
    x = 78,202.09/271.89
  6. Step 6: Final answer
    x = 287.62

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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.