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Finding the Fourth Proportional to 271.68, 375 and 209.64

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Solution

The fourth proportional to 271.68, 375 and 209.64 is: 289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.68 : 375 = 209.64 : x
  2. Step 2: Convert to fraction form
    271.68/375 = 209.64/x
  3. Step 3: Cross multiply
    271.68x = 375 × 209.64
  4. Step 4: Simplify right side
    271.68x = 78,615
  5. Step 5: Solve for x
    x = 78,615/271.68
  6. Step 6: Final answer
    x = 289.37

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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.