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Finding the Fourth Proportional to 174.84, 262.14 and 82.26

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Solution

The fourth proportional to 174.84, 262.14 and 82.26 is: 123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.84 : 262.14 = 82.26 : x
  2. Step 2: Convert to fraction form
    174.84/262.14 = 82.26/x
  3. Step 3: Cross multiply
    174.84x = 262.14 × 82.26
  4. Step 4: Simplify right side
    174.84x = 21,563.64
  5. Step 5: Solve for x
    x = 21,563.64/174.84
  6. Step 6: Final answer
    x = 123.33

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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.