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Finding the Fourth Proportional to 231.30, 319.31 and 144.02

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Solution

The fourth proportional to 231.30, 319.31 and 144.02 is: 198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.30 : 319.31 = 144.02 : x
  2. Step 2: Convert to fraction form
    231.30/319.31 = 144.02/x
  3. Step 3: Cross multiply
    231.30x = 319.31 × 144.02
  4. Step 4: Simplify right side
    231.30x = 45,987.03
  5. Step 5: Solve for x
    x = 45,987.03/231.30
  6. Step 6: Final answer
    x = 198.82

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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.