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Finding the Fourth Proportional to 422, 633.16 and 165.52

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Solution

The fourth proportional to 422, 633.16 and 165.52 is: 248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422 : 633.16 = 165.52 : x
  2. Step 2: Convert to fraction form
    422/633.16 = 165.52/x
  3. Step 3: Cross multiply
    422x = 633.16 × 165.52
  4. Step 4: Simplify right side
    422x = 104,800.64
  5. Step 5: Solve for x
    x = 104,800.64/422
  6. Step 6: Final answer
    x = 248.34

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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.