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Finding the Fourth Proportional to 271.72, 406.89 and 189.71

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Solution

The fourth proportional to 271.72, 406.89 and 189.71 is: 284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.72 : 406.89 = 189.71 : x
  2. Step 2: Convert to fraction form
    271.72/406.89 = 189.71/x
  3. Step 3: Cross multiply
    271.72x = 406.89 × 189.71
  4. Step 4: Simplify right side
    271.72x = 77,190.59
  5. Step 5: Solve for x
    x = 77,190.59/271.72
  6. Step 6: Final answer
    x = 284.08

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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.