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Finding the Fourth Proportional to 269.16, 371.29 and 164.17

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Solution

The fourth proportional to 269.16, 371.29 and 164.17 is: 226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.16 : 371.29 = 164.17 : x
  2. Step 2: Convert to fraction form
    269.16/371.29 = 164.17/x
  3. Step 3: Cross multiply
    269.16x = 371.29 × 164.17
  4. Step 4: Simplify right side
    269.16x = 60,954.68
  5. Step 5: Solve for x
    x = 60,954.68/269.16
  6. Step 6: Final answer
    x = 226.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.