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Finding the Fourth Proportional to 270.28, 405.11 and 209.22

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Solution

The fourth proportional to 270.28, 405.11 and 209.22 is: 313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.28 : 405.11 = 209.22 : x
  2. Step 2: Convert to fraction form
    270.28/405.11 = 209.22/x
  3. Step 3: Cross multiply
    270.28x = 405.11 × 209.22
  4. Step 4: Simplify right side
    270.28x = 84,759.16
  5. Step 5: Solve for x
    x = 84,759.16/270.28
  6. Step 6: Final answer
    x = 313.60

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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.