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Finding the Fourth Proportional to 662.81, 994.19 and 169.22

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Solution

The fourth proportional to 662.81, 994.19 and 169.22 is: 253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.81 : 994.19 = 169.22 : x
  2. Step 2: Convert to fraction form
    662.81/994.19 = 169.22/x
  3. Step 3: Cross multiply
    662.81x = 994.19 × 169.22
  4. Step 4: Simplify right side
    662.81x = 168,236.83
  5. Step 5: Solve for x
    x = 168,236.83/662.81
  6. Step 6: Final answer
    x = 253.82

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Why These Related Problems?

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