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Finding the Fourth Proportional to 235.07, 324.42 and 141.78

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Solution

The fourth proportional to 235.07, 324.42 and 141.78 is: 195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.07 : 324.42 = 141.78 : x
  2. Step 2: Convert to fraction form
    235.07/324.42 = 141.78/x
  3. Step 3: Cross multiply
    235.07x = 324.42 × 141.78
  4. Step 4: Simplify right side
    235.07x = 45,997.75
  5. Step 5: Solve for x
    x = 45,997.75/235.07
  6. Step 6: Final answer
    x = 195.68

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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.