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Finding the Fourth Proportional to 235.10, 351.97 and 196.15

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Solution

The fourth proportional to 235.10, 351.97 and 196.15 is: 293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.10 : 351.97 = 196.15 : x
  2. Step 2: Convert to fraction form
    235.10/351.97 = 196.15/x
  3. Step 3: Cross multiply
    235.10x = 351.97 × 196.15
  4. Step 4: Simplify right side
    235.10x = 69,037.77
  5. Step 5: Solve for x
    x = 69,037.77/235.10
  6. Step 6: Final answer
    x = 293.65

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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.