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Finding the Fourth Proportional to 234.88, 350.40 and 199.04

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Solution

The fourth proportional to 234.88, 350.40 and 199.04 is: 296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.88 : 350.40 = 199.04 : x
  2. Step 2: Convert to fraction form
    234.88/350.40 = 199.04/x
  3. Step 3: Cross multiply
    234.88x = 350.40 × 199.04
  4. Step 4: Simplify right side
    234.88x = 69,743.62
  5. Step 5: Solve for x
    x = 69,743.62/234.88
  6. Step 6: Final answer
    x = 296.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.