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Finding the Fourth Proportional to 422.43, 633.76 and 148.49

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Solution

The fourth proportional to 422.43, 633.76 and 148.49 is: 222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.43 : 633.76 = 148.49 : x
  2. Step 2: Convert to fraction form
    422.43/633.76 = 148.49/x
  3. Step 3: Cross multiply
    422.43x = 633.76 × 148.49
  4. Step 4: Simplify right side
    422.43x = 94,103.48
  5. Step 5: Solve for x
    x = 94,103.48/422.43
  6. Step 6: Final answer
    x = 222.77

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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.