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Finding the Fourth Proportional to 270.67, 406.10 and 162.49

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Solution

The fourth proportional to 270.67, 406.10 and 162.49 is: 243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.67 : 406.10 = 162.49 : x
  2. Step 2: Convert to fraction form
    270.67/406.10 = 162.49/x
  3. Step 3: Cross multiply
    270.67x = 406.10 × 162.49
  4. Step 4: Simplify right side
    270.67x = 65,987.19
  5. Step 5: Solve for x
    x = 65,987.19/270.67
  6. Step 6: Final answer
    x = 243.79

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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.