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Finding the Fourth Proportional to 234.04, 349.01 and 205.32

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Solution

The fourth proportional to 234.04, 349.01 and 205.32 is: 306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.04 : 349.01 = 205.32 : x
  2. Step 2: Convert to fraction form
    234.04/349.01 = 205.32/x
  3. Step 3: Cross multiply
    234.04x = 349.01 × 205.32
  4. Step 4: Simplify right side
    234.04x = 71,658.73
  5. Step 5: Solve for x
    x = 71,658.73/234.04
  6. Step 6: Final answer
    x = 306.18

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