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Finding the Fourth Proportional to 270.44, 405.72 and 162.30

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Solution

The fourth proportional to 270.44, 405.72 and 162.30 is: 243.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.44 : 405.72 = 162.30 : x
  2. Step 2: Convert to fraction form
    270.44/405.72 = 162.30/x
  3. Step 3: Cross multiply
    270.44x = 405.72 × 162.30
  4. Step 4: Simplify right side
    270.44x = 65,848.36
  5. Step 5: Solve for x
    x = 65,848.36/270.44
  6. Step 6: Final answer
    x = 243.49

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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.