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Finding the Fourth Proportional to 162.82, 224.79 and 126.23

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Solution

The fourth proportional to 162.82, 224.79 and 126.23 is: 174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.82 : 224.79 = 126.23 : x
  2. Step 2: Convert to fraction form
    162.82/224.79 = 126.23/x
  3. Step 3: Cross multiply
    162.82x = 224.79 × 126.23
  4. Step 4: Simplify right side
    162.82x = 28,375.24
  5. Step 5: Solve for x
    x = 28,375.24/162.82
  6. Step 6: Final answer
    x = 174.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.