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Finding the Fourth Proportional to 165.56, 248.36 and 120.47

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Solution

The fourth proportional to 165.56, 248.36 and 120.47 is: 180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.56 : 248.36 = 120.47 : x
  2. Step 2: Convert to fraction form
    165.56/248.36 = 120.47/x
  3. Step 3: Cross multiply
    165.56x = 248.36 × 120.47
  4. Step 4: Simplify right side
    165.56x = 29,918.09
  5. Step 5: Solve for x
    x = 29,918.09/165.56
  6. Step 6: Final answer
    x = 180.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.