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Finding the Fourth Proportional to 165.86, 248.21 and 122.43

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Solution

The fourth proportional to 165.86, 248.21 and 122.43 is: 183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.86 : 248.21 = 122.43 : x
  2. Step 2: Convert to fraction form
    165.86/248.21 = 122.43/x
  3. Step 3: Cross multiply
    165.86x = 248.21 × 122.43
  4. Step 4: Simplify right side
    165.86x = 30,387.74
  5. Step 5: Solve for x
    x = 30,387.74/165.86
  6. Step 6: Final answer
    x = 183.21

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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.