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Finding the Fourth Proportional to 270.90, 406.68 and 108.72

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Solution

The fourth proportional to 270.90, 406.68 and 108.72 is: 163.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.90 : 406.68 = 108.72 : x
  2. Step 2: Convert to fraction form
    270.90/406.68 = 108.72/x
  3. Step 3: Cross multiply
    270.90x = 406.68 × 108.72
  4. Step 4: Simplify right side
    270.90x = 44,214.25
  5. Step 5: Solve for x
    x = 44,214.25/270.90
  6. Step 6: Final answer
    x = 163.21

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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.