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Finding the Fourth Proportional to 235.38, 353.22 and 98.46

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Solution

The fourth proportional to 235.38, 353.22 and 98.46 is: 147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.38 : 353.22 = 98.46 : x
  2. Step 2: Convert to fraction form
    235.38/353.22 = 98.46/x
  3. Step 3: Cross multiply
    235.38x = 353.22 × 98.46
  4. Step 4: Simplify right side
    235.38x = 34,778.04
  5. Step 5: Solve for x
    x = 34,778.04/235.38
  6. Step 6: Final answer
    x = 147.75

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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.