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Finding the Fourth Proportional to 231.28, 319 and 214

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Solution

The fourth proportional to 231.28, 319 and 214 is: 295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.28 : 319 = 214 : x
  2. Step 2: Convert to fraction form
    231.28/319 = 214/x
  3. Step 3: Cross multiply
    231.28x = 319 × 214
  4. Step 4: Simplify right side
    231.28x = 68,266
  5. Step 5: Solve for x
    x = 68,266/231.28
  6. Step 6: Final answer
    x = 295.17

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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.