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Finding the Fourth Proportional to 235.37, 353.48 and 205.13

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Solution

The fourth proportional to 235.37, 353.48 and 205.13 is: 308.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.37 : 353.48 = 205.13 : x
  2. Step 2: Convert to fraction form
    235.37/353.48 = 205.13/x
  3. Step 3: Cross multiply
    235.37x = 353.48 × 205.13
  4. Step 4: Simplify right side
    235.37x = 72,508.33
  5. Step 5: Solve for x
    x = 72,508.33/235.37
  6. Step 6: Final answer
    x = 308.06

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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.