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Finding the Fourth Proportional to 171.62, 257.43 and 164.12

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Solution

The fourth proportional to 171.62, 257.43 and 164.12 is: 246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.62 : 257.43 = 164.12 : x
  2. Step 2: Convert to fraction form
    171.62/257.43 = 164.12/x
  3. Step 3: Cross multiply
    171.62x = 257.43 × 164.12
  4. Step 4: Simplify right side
    171.62x = 42,249.08
  5. Step 5: Solve for x
    x = 42,249.08/171.62
  6. Step 6: Final answer
    x = 246.18

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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.