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Finding the Fourth Proportional to 234.35, 322.61 and 197.43

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Solution

The fourth proportional to 234.35, 322.61 and 197.43 is: 271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.35 : 322.61 = 197.43 : x
  2. Step 2: Convert to fraction form
    234.35/322.61 = 197.43/x
  3. Step 3: Cross multiply
    234.35x = 322.61 × 197.43
  4. Step 4: Simplify right side
    234.35x = 63,692.89
  5. Step 5: Solve for x
    x = 63,692.89/234.35
  6. Step 6: Final answer
    x = 271.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.