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Finding the Fourth Proportional to 231.97, 320.14 and 144.65

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Solution

The fourth proportional to 231.97, 320.14 and 144.65 is: 199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.97 : 320.14 = 144.65 : x
  2. Step 2: Convert to fraction form
    231.97/320.14 = 144.65/x
  3. Step 3: Cross multiply
    231.97x = 320.14 × 144.65
  4. Step 4: Simplify right side
    231.97x = 46,308.69
  5. Step 5: Solve for x
    x = 46,308.69/231.97
  6. Step 6: Final answer
    x = 199.63

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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.