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Finding the Fourth Proportional to 165.75, 248.64 and 80.25

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Solution

The fourth proportional to 165.75, 248.64 and 80.25 is: 120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.75 : 248.64 = 80.25 : x
  2. Step 2: Convert to fraction form
    165.75/248.64 = 80.25/x
  3. Step 3: Cross multiply
    165.75x = 248.64 × 80.25
  4. Step 4: Simplify right side
    165.75x = 19,953.36
  5. Step 5: Solve for x
    x = 19,953.36/165.75
  6. Step 6: Final answer
    x = 120.38

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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.