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Finding the Fourth Proportional to 272.74, 408.71 and 142.46

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Solution

The fourth proportional to 272.74, 408.71 and 142.46 is: 213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.74 : 408.71 = 142.46 : x
  2. Step 2: Convert to fraction form
    272.74/408.71 = 142.46/x
  3. Step 3: Cross multiply
    272.74x = 408.71 × 142.46
  4. Step 4: Simplify right side
    272.74x = 58,223.14
  5. Step 5: Solve for x
    x = 58,223.14/272.74
  6. Step 6: Final answer
    x = 213.48

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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.