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Finding the Fourth Proportional to 165.33, 248.02 and 88.27

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Solution

The fourth proportional to 165.33, 248.02 and 88.27 is: 132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.33 : 248.02 = 88.27 : x
  2. Step 2: Convert to fraction form
    165.33/248.02 = 88.27/x
  3. Step 3: Cross multiply
    165.33x = 248.02 × 88.27
  4. Step 4: Simplify right side
    165.33x = 21,891.88
  5. Step 5: Solve for x
    x = 21,891.88/165.33
  6. Step 6: Final answer
    x = 132.41

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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.