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Finding the Fourth Proportional to 170.44, 254.25 and 164.32

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Solution

The fourth proportional to 170.44, 254.25 and 164.32 is: 245.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.44 : 254.25 = 164.32 : x
  2. Step 2: Convert to fraction form
    170.44/254.25 = 164.32/x
  3. Step 3: Cross multiply
    170.44x = 254.25 × 164.32
  4. Step 4: Simplify right side
    170.44x = 41,778.36
  5. Step 5: Solve for x
    x = 41,778.36/170.44
  6. Step 6: Final answer
    x = 245.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.