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Finding the Fourth Proportional to 234.36, 349.79 and 206.96

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Solution

The fourth proportional to 234.36, 349.79 and 206.96 is: 308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.36 : 349.79 = 206.96 : x
  2. Step 2: Convert to fraction form
    234.36/349.79 = 206.96/x
  3. Step 3: Cross multiply
    234.36x = 349.79 × 206.96
  4. Step 4: Simplify right side
    234.36x = 72,389.75
  5. Step 5: Solve for x
    x = 72,389.75/234.36
  6. Step 6: Final answer
    x = 308.88

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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.