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Finding the Fourth Proportional to 270.27, 405.31 and 167.40

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Solution

The fourth proportional to 270.27, 405.31 and 167.40 is: 251.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.27 : 405.31 = 167.40 : x
  2. Step 2: Convert to fraction form
    270.27/405.31 = 167.40/x
  3. Step 3: Cross multiply
    270.27x = 405.31 × 167.40
  4. Step 4: Simplify right side
    270.27x = 67,848.89
  5. Step 5: Solve for x
    x = 67,848.89/270.27
  6. Step 6: Final answer
    x = 251.04

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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.