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Finding the Fourth Proportional to 164.81, 247.25 and 137.94

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Solution

The fourth proportional to 164.81, 247.25 and 137.94 is: 206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.81 : 247.25 = 137.94 : x
  2. Step 2: Convert to fraction form
    164.81/247.25 = 137.94/x
  3. Step 3: Cross multiply
    164.81x = 247.25 × 137.94
  4. Step 4: Simplify right side
    164.81x = 34,105.90
  5. Step 5: Solve for x
    x = 34,105.90/164.81
  6. Step 6: Final answer
    x = 206.94

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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.