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Finding the Fourth Proportional to 165.78, 247.73 and 122.04

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Solution

The fourth proportional to 165.78, 247.73 and 122.04 is: 182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.78 : 247.73 = 122.04 : x
  2. Step 2: Convert to fraction form
    165.78/247.73 = 122.04/x
  3. Step 3: Cross multiply
    165.78x = 247.73 × 122.04
  4. Step 4: Simplify right side
    165.78x = 30,232.36
  5. Step 5: Solve for x
    x = 30,232.36/165.78
  6. Step 6: Final answer
    x = 182.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.