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Finding the Fourth Proportional to 271.82, 375.12 and 155.39

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Solution

The fourth proportional to 271.82, 375.12 and 155.39 is: 214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.82 : 375.12 = 155.39 : x
  2. Step 2: Convert to fraction form
    271.82/375.12 = 155.39/x
  3. Step 3: Cross multiply
    271.82x = 375.12 × 155.39
  4. Step 4: Simplify right side
    271.82x = 58,288.02
  5. Step 5: Solve for x
    x = 58,288.02/271.82
  6. Step 6: Final answer
    x = 214.43

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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.