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Finding the Fourth Proportional to 400.94, 601.64 and 169.81

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Solution

The fourth proportional to 400.94, 601.64 and 169.81 is: 254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.94 : 601.64 = 169.81 : x
  2. Step 2: Convert to fraction form
    400.94/601.64 = 169.81/x
  3. Step 3: Cross multiply
    400.94x = 601.64 × 169.81
  4. Step 4: Simplify right side
    400.94x = 102,164.49
  5. Step 5: Solve for x
    x = 102,164.49/400.94
  6. Step 6: Final answer
    x = 254.81

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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.