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Finding the Fourth Proportional to 424.14, 636.21 and 150.22

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Solution

The fourth proportional to 424.14, 636.21 and 150.22 is: 225.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.14 : 636.21 = 150.22 : x
  2. Step 2: Convert to fraction form
    424.14/636.21 = 150.22/x
  3. Step 3: Cross multiply
    424.14x = 636.21 × 150.22
  4. Step 4: Simplify right side
    424.14x = 95,571.47
  5. Step 5: Solve for x
    x = 95,571.47/424.14
  6. Step 6: Final answer
    x = 225.33

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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.