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Finding the Fourth Proportional to 422.07, 632.70 and 178.47

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Solution

The fourth proportional to 422.07, 632.70 and 178.47 is: 267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.07 : 632.70 = 178.47 : x
  2. Step 2: Convert to fraction form
    422.07/632.70 = 178.47/x
  3. Step 3: Cross multiply
    422.07x = 632.70 × 178.47
  4. Step 4: Simplify right side
    422.07x = 112,917.97
  5. Step 5: Solve for x
    x = 112,917.97/422.07
  6. Step 6: Final answer
    x = 267.53

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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.