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Finding the Fourth Proportional to 422.40, 633.20 and 162.24

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Solution

The fourth proportional to 422.40, 633.20 and 162.24 is: 243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.40 : 633.20 = 162.24 : x
  2. Step 2: Convert to fraction form
    422.40/633.20 = 162.24/x
  3. Step 3: Cross multiply
    422.40x = 633.20 × 162.24
  4. Step 4: Simplify right side
    422.40x = 102,730.37
  5. Step 5: Solve for x
    x = 102,730.37/422.40
  6. Step 6: Final answer
    x = 243.21

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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.