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Finding the Fourth Proportional to 234.90, 352.29 and 198.57

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Solution

The fourth proportional to 234.90, 352.29 and 198.57 is: 297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.90 : 352.29 = 198.57 : x
  2. Step 2: Convert to fraction form
    234.90/352.29 = 198.57/x
  3. Step 3: Cross multiply
    234.90x = 352.29 × 198.57
  4. Step 4: Simplify right side
    234.90x = 69,954.23
  5. Step 5: Solve for x
    x = 69,954.23/234.90
  6. Step 6: Final answer
    x = 297.80

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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.