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Finding the Fourth Proportional to 150.82, 226.26 and 82.35

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Solution

The fourth proportional to 150.82, 226.26 and 82.35 is: 123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.82 : 226.26 = 82.35 : x
  2. Step 2: Convert to fraction form
    150.82/226.26 = 82.35/x
  3. Step 3: Cross multiply
    150.82x = 226.26 × 82.35
  4. Step 4: Simplify right side
    150.82x = 18,632.51
  5. Step 5: Solve for x
    x = 18,632.51/150.82
  6. Step 6: Final answer
    x = 123.54

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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.