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Finding the Fourth Proportional to 235.10, 352.82 and 98.21

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Solution

The fourth proportional to 235.10, 352.82 and 98.21 is: 147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.10 : 352.82 = 98.21 : x
  2. Step 2: Convert to fraction form
    235.10/352.82 = 98.21/x
  3. Step 3: Cross multiply
    235.10x = 352.82 × 98.21
  4. Step 4: Simplify right side
    235.10x = 34,651.58
  5. Step 5: Solve for x
    x = 34,651.58/235.10
  6. Step 6: Final answer
    x = 147.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.