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Finding the Fourth Proportional to 271.93, 375.40 and 209.62

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Solution

The fourth proportional to 271.93, 375.40 and 209.62 is: 289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.93 : 375.40 = 209.62 : x
  2. Step 2: Convert to fraction form
    271.93/375.40 = 209.62/x
  3. Step 3: Cross multiply
    271.93x = 375.40 × 209.62
  4. Step 4: Simplify right side
    271.93x = 78,691.35
  5. Step 5: Solve for x
    x = 78,691.35/271.93
  6. Step 6: Final answer
    x = 289.39

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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.