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Finding the Fourth Proportional to 174.57, 262.08 and 83.33

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Solution

The fourth proportional to 174.57, 262.08 and 83.33 is: 125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.57 : 262.08 = 83.33 : x
  2. Step 2: Convert to fraction form
    174.57/262.08 = 83.33/x
  3. Step 3: Cross multiply
    174.57x = 262.08 × 83.33
  4. Step 4: Simplify right side
    174.57x = 21,837.82
  5. Step 5: Solve for x
    x = 21,837.82/174.57
  6. Step 6: Final answer
    x = 125.09

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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.