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Finding the Fourth Proportional to 231.72, 319.68 and 144.36

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Solution

The fourth proportional to 231.72, 319.68 and 144.36 is: 199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.72 : 319.68 = 144.36 : x
  2. Step 2: Convert to fraction form
    231.72/319.68 = 144.36/x
  3. Step 3: Cross multiply
    231.72x = 319.68 × 144.36
  4. Step 4: Simplify right side
    231.72x = 46,149.00
  5. Step 5: Solve for x
    x = 46,149.00/231.72
  6. Step 6: Final answer
    x = 199.16

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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.