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Finding the Fourth Proportional to 422.02, 632.67 and 178.66

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Solution

The fourth proportional to 422.02, 632.67 and 178.66 is: 267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.02 : 632.67 = 178.66 : x
  2. Step 2: Convert to fraction form
    422.02/632.67 = 178.66/x
  3. Step 3: Cross multiply
    422.02x = 632.67 × 178.66
  4. Step 4: Simplify right side
    422.02x = 113,032.82
  5. Step 5: Solve for x
    x = 113,032.82/422.02
  6. Step 6: Final answer
    x = 267.84

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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.