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Finding the Fourth Proportional to 231.77, 319.86 and 144.42

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Solution

The fourth proportional to 231.77, 319.86 and 144.42 is: 199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.77 : 319.86 = 144.42 : x
  2. Step 2: Convert to fraction form
    231.77/319.86 = 144.42/x
  3. Step 3: Cross multiply
    231.77x = 319.86 × 144.42
  4. Step 4: Simplify right side
    231.77x = 46,194.18
  5. Step 5: Solve for x
    x = 46,194.18/231.77
  6. Step 6: Final answer
    x = 199.31

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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.