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Finding the Fourth Proportional to 422.38, 633.57 and 165.88

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Solution

The fourth proportional to 422.38, 633.57 and 165.88 is: 248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.38 : 633.57 = 165.88 : x
  2. Step 2: Convert to fraction form
    422.38/633.57 = 165.88/x
  3. Step 3: Cross multiply
    422.38x = 633.57 × 165.88
  4. Step 4: Simplify right side
    422.38x = 105,096.59
  5. Step 5: Solve for x
    x = 105,096.59/422.38
  6. Step 6: Final answer
    x = 248.82

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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.