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Finding the Fourth Proportional to 174.92, 262.25 and 83.53

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Solution

The fourth proportional to 174.92, 262.25 and 83.53 is: 125.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.92 : 262.25 = 83.53 : x
  2. Step 2: Convert to fraction form
    174.92/262.25 = 83.53/x
  3. Step 3: Cross multiply
    174.92x = 262.25 × 83.53
  4. Step 4: Simplify right side
    174.92x = 21,906.08
  5. Step 5: Solve for x
    x = 21,906.08/174.92
  6. Step 6: Final answer
    x = 125.23

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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.