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Finding the Fourth Proportional to 422.16, 633.12 and 178.80

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Solution

The fourth proportional to 422.16, 633.12 and 178.80 is: 268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.16 : 633.12 = 178.80 : x
  2. Step 2: Convert to fraction form
    422.16/633.12 = 178.80/x
  3. Step 3: Cross multiply
    422.16x = 633.12 × 178.80
  4. Step 4: Simplify right side
    422.16x = 113,201.86
  5. Step 5: Solve for x
    x = 113,201.86/422.16
  6. Step 6: Final answer
    x = 268.15

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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.