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Finding the Fourth Proportional to 422.92, 634.44 and 149.08

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Solution

The fourth proportional to 422.92, 634.44 and 149.08 is: 223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.92 : 634.44 = 149.08 : x
  2. Step 2: Convert to fraction form
    422.92/634.44 = 149.08/x
  3. Step 3: Cross multiply
    422.92x = 634.44 × 149.08
  4. Step 4: Simplify right side
    422.92x = 94,582.32
  5. Step 5: Solve for x
    x = 94,582.32/422.92
  6. Step 6: Final answer
    x = 223.64

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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.