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Finding the Fourth Proportional to 231.54, 319.46 and 144.15

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Solution

The fourth proportional to 231.54, 319.46 and 144.15 is: 198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.54 : 319.46 = 144.15 : x
  2. Step 2: Convert to fraction form
    231.54/319.46 = 144.15/x
  3. Step 3: Cross multiply
    231.54x = 319.46 × 144.15
  4. Step 4: Simplify right side
    231.54x = 46,050.16
  5. Step 5: Solve for x
    x = 46,050.16/231.54
  6. Step 6: Final answer
    x = 198.89

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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.