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Finding the Fourth Proportional to 399.84, 599.82 and 111.30

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Solution

The fourth proportional to 399.84, 599.82 and 111.30 is: 166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.84 : 599.82 = 111.30 : x
  2. Step 2: Convert to fraction form
    399.84/599.82 = 111.30/x
  3. Step 3: Cross multiply
    399.84x = 599.82 × 111.30
  4. Step 4: Simplify right side
    399.84x = 66,759.97
  5. Step 5: Solve for x
    x = 66,759.97/399.84
  6. Step 6: Final answer
    x = 166.97

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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.