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Finding the Fourth Proportional to 422.54, 633.80 and 166.04

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Solution

The fourth proportional to 422.54, 633.80 and 166.04 is: 249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.54 : 633.80 = 166.04 : x
  2. Step 2: Convert to fraction form
    422.54/633.80 = 166.04/x
  3. Step 3: Cross multiply
    422.54x = 633.80 × 166.04
  4. Step 4: Simplify right side
    422.54x = 105,232.15
  5. Step 5: Solve for x
    x = 105,232.15/422.54
  6. Step 6: Final answer
    x = 249.05

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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.