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Finding the Fourth Proportional to 272.69, 411.13 and 219.23

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Solution

The fourth proportional to 272.69, 411.13 and 219.23 is: 330.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.69 : 411.13 = 219.23 : x
  2. Step 2: Convert to fraction form
    272.69/411.13 = 219.23/x
  3. Step 3: Cross multiply
    272.69x = 411.13 × 219.23
  4. Step 4: Simplify right side
    272.69x = 90,132.03
  5. Step 5: Solve for x
    x = 90,132.03/272.69
  6. Step 6: Final answer
    x = 330.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.