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Finding the Fourth Proportional to 231.58, 319.48 and 144.19

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Solution

The fourth proportional to 231.58, 319.48 and 144.19 is: 198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.58 : 319.48 = 144.19 : x
  2. Step 2: Convert to fraction form
    231.58/319.48 = 144.19/x
  3. Step 3: Cross multiply
    231.58x = 319.48 × 144.19
  4. Step 4: Simplify right side
    231.58x = 46,065.82
  5. Step 5: Solve for x
    x = 46,065.82/231.58
  6. Step 6: Final answer
    x = 198.92

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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.