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Finding the Fourth Proportional to 235, 324.30 and 141.82

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Solution

The fourth proportional to 235, 324.30 and 141.82 is: 195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    235 : 324.30 = 141.82 : x
  2. Step 2: Convert to fraction form
    235/324.30 = 141.82/x
  3. Step 3: Cross multiply
    235x = 324.30 × 141.82
  4. Step 4: Simplify right side
    235x = 45,992.23
  5. Step 5: Solve for x
    x = 45,992.23/235
  6. Step 6: Final answer
    x = 195.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.