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Finding the Fourth Proportional to 270.11, 405.31 and 116.18

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Solution

The fourth proportional to 270.11, 405.31 and 116.18 is: 174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.11 : 405.31 = 116.18 : x
  2. Step 2: Convert to fraction form
    270.11/405.31 = 116.18/x
  3. Step 3: Cross multiply
    270.11x = 405.31 × 116.18
  4. Step 4: Simplify right side
    270.11x = 47,089.64
  5. Step 5: Solve for x
    x = 47,089.64/270.11
  6. Step 6: Final answer
    x = 174.34

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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.