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Finding the Fourth Proportional to 162.12, 220.62 and 161.30

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Solution

The fourth proportional to 162.12, 220.62 and 161.30 is: 219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.12 : 220.62 = 161.30 : x
  2. Step 2: Convert to fraction form
    162.12/220.62 = 161.30/x
  3. Step 3: Cross multiply
    162.12x = 220.62 × 161.30
  4. Step 4: Simplify right side
    162.12x = 35,586.01
  5. Step 5: Solve for x
    x = 35,586.01/162.12
  6. Step 6: Final answer
    x = 219.50

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.