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Finding the Fourth Proportional to 422.14, 632.94 and 178.45

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Solution

The fourth proportional to 422.14, 632.94 and 178.45 is: 267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.14 : 632.94 = 178.45 : x
  2. Step 2: Convert to fraction form
    422.14/632.94 = 178.45/x
  3. Step 3: Cross multiply
    422.14x = 632.94 × 178.45
  4. Step 4: Simplify right side
    422.14x = 112,949.95
  5. Step 5: Solve for x
    x = 112,949.95/422.14
  6. Step 6: Final answer
    x = 267.57

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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.