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Finding the Fourth Proportional to 400.91, 601.41 and 178.79

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Solution

The fourth proportional to 400.91, 601.41 and 178.79 is: 268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.91 : 601.41 = 178.79 : x
  2. Step 2: Convert to fraction form
    400.91/601.41 = 178.79/x
  3. Step 3: Cross multiply
    400.91x = 601.41 × 178.79
  4. Step 4: Simplify right side
    400.91x = 107,523.09
  5. Step 5: Solve for x
    x = 107,523.09/400.91
  6. Step 6: Final answer
    x = 268.20

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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.