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Finding the Fourth Proportional to 422.61, 633.88 and 166.11

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Solution

The fourth proportional to 422.61, 633.88 and 166.11 is: 249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.61 : 633.88 = 166.11 : x
  2. Step 2: Convert to fraction form
    422.61/633.88 = 166.11/x
  3. Step 3: Cross multiply
    422.61x = 633.88 × 166.11
  4. Step 4: Simplify right side
    422.61x = 105,293.81
  5. Step 5: Solve for x
    x = 105,293.81/422.61
  6. Step 6: Final answer
    x = 249.15

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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.