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Finding the Fourth Proportional to 164.62, 246.21 and 132.13

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Solution

The fourth proportional to 164.62, 246.21 and 132.13 is: 197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.62 : 246.21 = 132.13 : x
  2. Step 2: Convert to fraction form
    164.62/246.21 = 132.13/x
  3. Step 3: Cross multiply
    164.62x = 246.21 × 132.13
  4. Step 4: Simplify right side
    164.62x = 32,531.73
  5. Step 5: Solve for x
    x = 32,531.73/164.62
  6. Step 6: Final answer
    x = 197.62

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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.