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Finding the Fourth Proportional to 422.36, 633.54 and 178.84

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Solution

The fourth proportional to 422.36, 633.54 and 178.84 is: 268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.36 : 633.54 = 178.84 : x
  2. Step 2: Convert to fraction form
    422.36/633.54 = 178.84/x
  3. Step 3: Cross multiply
    422.36x = 633.54 × 178.84
  4. Step 4: Simplify right side
    422.36x = 113,299.13
  5. Step 5: Solve for x
    x = 113,299.13/422.36
  6. Step 6: Final answer
    x = 268.26

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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.