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Finding the Fourth Proportional to 270.38, 405.66 and 162.24

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Solution

The fourth proportional to 270.38, 405.66 and 162.24 is: 243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.38 : 405.66 = 162.24 : x
  2. Step 2: Convert to fraction form
    270.38/405.66 = 162.24/x
  3. Step 3: Cross multiply
    270.38x = 405.66 × 162.24
  4. Step 4: Simplify right side
    270.38x = 65,814.28
  5. Step 5: Solve for x
    x = 65,814.28/270.38
  6. Step 6: Final answer
    x = 243.42

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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.