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Finding the Fourth Proportional to 165.25, 247.88 and 82.92

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Solution

The fourth proportional to 165.25, 247.88 and 82.92 is: 124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.25 : 247.88 = 82.92 : x
  2. Step 2: Convert to fraction form
    165.25/247.88 = 82.92/x
  3. Step 3: Cross multiply
    165.25x = 247.88 × 82.92
  4. Step 4: Simplify right side
    165.25x = 20,554.21
  5. Step 5: Solve for x
    x = 20,554.21/165.25
  6. Step 6: Final answer
    x = 124.38

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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.