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Finding the Fourth Proportional to 422.10, 633.06 and 178.80

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Solution

The fourth proportional to 422.10, 633.06 and 178.80 is: 268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.10 : 633.06 = 178.80 : x
  2. Step 2: Convert to fraction form
    422.10/633.06 = 178.80/x
  3. Step 3: Cross multiply
    422.10x = 633.06 × 178.80
  4. Step 4: Simplify right side
    422.10x = 113,191.13
  5. Step 5: Solve for x
    x = 113,191.13/422.10
  6. Step 6: Final answer
    x = 268.16

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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.