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Finding the Fourth Proportional to 271.29, 406.29 and 189.87

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Solution

The fourth proportional to 271.29, 406.29 and 189.87 is: 284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.29 : 406.29 = 189.87 : x
  2. Step 2: Convert to fraction form
    271.29/406.29 = 189.87/x
  3. Step 3: Cross multiply
    271.29x = 406.29 × 189.87
  4. Step 4: Simplify right side
    271.29x = 77,142.28
  5. Step 5: Solve for x
    x = 77,142.28/271.29
  6. Step 6: Final answer
    x = 284.35

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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.