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Finding the Fourth Proportional to 422.09, 632.93 and 178.48

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Solution

The fourth proportional to 422.09, 632.93 and 178.48 is: 267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.09 : 632.93 = 178.48 : x
  2. Step 2: Convert to fraction form
    422.09/632.93 = 178.48/x
  3. Step 3: Cross multiply
    422.09x = 632.93 × 178.48
  4. Step 4: Simplify right side
    422.09x = 112,962.87
  5. Step 5: Solve for x
    x = 112,962.87/422.09
  6. Step 6: Final answer
    x = 267.63

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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.