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Finding the Fourth Proportional to 235.40, 352.29 and 198.68

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Solution

The fourth proportional to 235.40, 352.29 and 198.68 is: 297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.40 : 352.29 = 198.68 : x
  2. Step 2: Convert to fraction form
    235.40/352.29 = 198.68/x
  3. Step 3: Cross multiply
    235.40x = 352.29 × 198.68
  4. Step 4: Simplify right side
    235.40x = 69,992.98
  5. Step 5: Solve for x
    x = 69,992.98/235.40
  6. Step 6: Final answer
    x = 297.34

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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.