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Finding the Fourth Proportional to 162.24, 222.40 and 161.92

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Solution

The fourth proportional to 162.24, 222.40 and 161.92 is: 221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.24 : 222.40 = 161.92 : x
  2. Step 2: Convert to fraction form
    162.24/222.40 = 161.92/x
  3. Step 3: Cross multiply
    162.24x = 222.40 × 161.92
  4. Step 4: Simplify right side
    162.24x = 36,011.01
  5. Step 5: Solve for x
    x = 36,011.01/162.24
  6. Step 6: Final answer
    x = 221.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.