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Finding the Fourth Proportional to 272.67, 409.14 and 142.62

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Solution

The fourth proportional to 272.67, 409.14 and 142.62 is: 214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.67 : 409.14 = 142.62 : x
  2. Step 2: Convert to fraction form
    272.67/409.14 = 142.62/x
  3. Step 3: Cross multiply
    272.67x = 409.14 × 142.62
  4. Step 4: Simplify right side
    272.67x = 58,351.55
  5. Step 5: Solve for x
    x = 58,351.55/272.67
  6. Step 6: Final answer
    x = 214.00

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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.