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Finding the Fourth Proportional to 234.99, 324.19 and 141.69

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Solution

The fourth proportional to 234.99, 324.19 and 141.69 is: 195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.99 : 324.19 = 141.69 : x
  2. Step 2: Convert to fraction form
    234.99/324.19 = 141.69/x
  3. Step 3: Cross multiply
    234.99x = 324.19 × 141.69
  4. Step 4: Simplify right side
    234.99x = 45,934.48
  5. Step 5: Solve for x
    x = 45,934.48/234.99
  6. Step 6: Final answer
    x = 195.47

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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.