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Finding the Fourth Proportional to 270.26, 405.68 and 160.71

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Solution

The fourth proportional to 270.26, 405.68 and 160.71 is: 241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.26 : 405.68 = 160.71 : x
  2. Step 2: Convert to fraction form
    270.26/405.68 = 160.71/x
  3. Step 3: Cross multiply
    270.26x = 405.68 × 160.71
  4. Step 4: Simplify right side
    270.26x = 65,196.83
  5. Step 5: Solve for x
    x = 65,196.83/270.26
  6. Step 6: Final answer
    x = 241.24

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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.