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Finding the Fourth Proportional to 164.17, 246.04 and 86.97

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Solution

The fourth proportional to 164.17, 246.04 and 86.97 is: 130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.17 : 246.04 = 86.97 : x
  2. Step 2: Convert to fraction form
    164.17/246.04 = 86.97/x
  3. Step 3: Cross multiply
    164.17x = 246.04 × 86.97
  4. Step 4: Simplify right side
    164.17x = 21,398.10
  5. Step 5: Solve for x
    x = 21,398.10/164.17
  6. Step 6: Final answer
    x = 130.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.