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Finding the Fourth Proportional to 231.75, 319.19 and 215.60

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Solution

The fourth proportional to 231.75, 319.19 and 215.60 is: 296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.75 : 319.19 = 215.60 : x
  2. Step 2: Convert to fraction form
    231.75/319.19 = 215.60/x
  3. Step 3: Cross multiply
    231.75x = 319.19 × 215.60
  4. Step 4: Simplify right side
    231.75x = 68,814.69
  5. Step 5: Solve for x
    x = 68,814.69/231.75
  6. Step 6: Final answer
    x = 296.94

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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.