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Finding the Fourth Proportional to 165.78, 248.22 and 122.16

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Solution

The fourth proportional to 165.78, 248.22 and 122.16 is: 182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.78 : 248.22 = 122.16 : x
  2. Step 2: Convert to fraction form
    165.78/248.22 = 122.16/x
  3. Step 3: Cross multiply
    165.78x = 248.22 × 122.16
  4. Step 4: Simplify right side
    165.78x = 30,322.56
  5. Step 5: Solve for x
    x = 30,322.56/165.78
  6. Step 6: Final answer
    x = 182.91

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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.