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Finding the Fourth Proportional to 272.59, 408.91 and 126.39

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Solution

The fourth proportional to 272.59, 408.91 and 126.39 is: 189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.59 : 408.91 = 126.39 : x
  2. Step 2: Convert to fraction form
    272.59/408.91 = 126.39/x
  3. Step 3: Cross multiply
    272.59x = 408.91 × 126.39
  4. Step 4: Simplify right side
    272.59x = 51,682.13
  5. Step 5: Solve for x
    x = 51,682.13/272.59
  6. Step 6: Final answer
    x = 189.60

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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.