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Finding the Fourth Proportional to 270.26, 405.36 and 148.48

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Solution

The fourth proportional to 270.26, 405.36 and 148.48 is: 222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.26 : 405.36 = 148.48 : x
  2. Step 2: Convert to fraction form
    270.26/405.36 = 148.48/x
  3. Step 3: Cross multiply
    270.26x = 405.36 × 148.48
  4. Step 4: Simplify right side
    270.26x = 60,187.85
  5. Step 5: Solve for x
    x = 60,187.85/270.26
  6. Step 6: Final answer
    x = 222.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.