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Finding the Fourth Proportional to 270.29, 405.62 and 116.36

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Solution

The fourth proportional to 270.29, 405.62 and 116.36 is: 174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.29 : 405.62 = 116.36 : x
  2. Step 2: Convert to fraction form
    270.29/405.62 = 116.36/x
  3. Step 3: Cross multiply
    270.29x = 405.62 × 116.36
  4. Step 4: Simplify right side
    270.29x = 47,197.94
  5. Step 5: Solve for x
    x = 47,197.94/270.29
  6. Step 6: Final answer
    x = 174.62

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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.