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Finding the Fourth Proportional to 164.40, 246.82 and 95.97

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Solution

The fourth proportional to 164.40, 246.82 and 95.97 is: 144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.40 : 246.82 = 95.97 : x
  2. Step 2: Convert to fraction form
    164.40/246.82 = 95.97/x
  3. Step 3: Cross multiply
    164.40x = 246.82 × 95.97
  4. Step 4: Simplify right side
    164.40x = 23,687.32
  5. Step 5: Solve for x
    x = 23,687.32/164.40
  6. Step 6: Final answer
    x = 144.08

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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.