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Finding the Fourth Proportional to 170.32, 234.92 and 164.48

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Solution

The fourth proportional to 170.32, 234.92 and 164.48 is: 226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.32 : 234.92 = 164.48 : x
  2. Step 2: Convert to fraction form
    170.32/234.92 = 164.48/x
  3. Step 3: Cross multiply
    170.32x = 234.92 × 164.48
  4. Step 4: Simplify right side
    170.32x = 38,639.64
  5. Step 5: Solve for x
    x = 38,639.64/170.32
  6. Step 6: Final answer
    x = 226.86

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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.