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Finding the Fourth Proportional to 423.25, 634.97 and 149.35

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Solution

The fourth proportional to 423.25, 634.97 and 149.35 is: 224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.25 : 634.97 = 149.35 : x
  2. Step 2: Convert to fraction form
    423.25/634.97 = 149.35/x
  3. Step 3: Cross multiply
    423.25x = 634.97 × 149.35
  4. Step 4: Simplify right side
    423.25x = 94,830.44
  5. Step 5: Solve for x
    x = 94,830.44/423.25
  6. Step 6: Final answer
    x = 224.05

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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.