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Finding the Fourth Proportional to 235.98, 355.20 and 213.62

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Solution

The fourth proportional to 235.98, 355.20 and 213.62 is: 321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.98 : 355.20 = 213.62 : x
  2. Step 2: Convert to fraction form
    235.98/355.20 = 213.62/x
  3. Step 3: Cross multiply
    235.98x = 355.20 × 213.62
  4. Step 4: Simplify right side
    235.98x = 75,877.82
  5. Step 5: Solve for x
    x = 75,877.82/235.98
  6. Step 6: Final answer
    x = 321.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.