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Finding the Fourth Proportional to 272.62, 409.06 and 142.55

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Solution

The fourth proportional to 272.62, 409.06 and 142.55 is: 213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.62 : 409.06 = 142.55 : x
  2. Step 2: Convert to fraction form
    272.62/409.06 = 142.55/x
  3. Step 3: Cross multiply
    272.62x = 409.06 × 142.55
  4. Step 4: Simplify right side
    272.62x = 58,311.50
  5. Step 5: Solve for x
    x = 58,311.50/272.62
  6. Step 6: Final answer
    x = 213.89

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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.