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Finding the Fourth Proportional to 150.78, 225.96 and 82.26

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Solution

The fourth proportional to 150.78, 225.96 and 82.26 is: 123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.78 : 225.96 = 82.26 : x
  2. Step 2: Convert to fraction form
    150.78/225.96 = 82.26/x
  3. Step 3: Cross multiply
    150.78x = 225.96 × 82.26
  4. Step 4: Simplify right side
    150.78x = 18,587.47
  5. Step 5: Solve for x
    x = 18,587.47/150.78
  6. Step 6: Final answer
    x = 123.28

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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.