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Finding the Fourth Proportional to 399.94, 600.01 and 111.38

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Solution

The fourth proportional to 399.94, 600.01 and 111.38 is: 167.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.94 : 600.01 = 111.38 : x
  2. Step 2: Convert to fraction form
    399.94/600.01 = 111.38/x
  3. Step 3: Cross multiply
    399.94x = 600.01 × 111.38
  4. Step 4: Simplify right side
    399.94x = 66,825.84
  5. Step 5: Solve for x
    x = 66,825.84/399.94
  6. Step 6: Final answer
    x = 167.09

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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.