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Finding the Fourth Proportional to 283.56, 391.42 and 213.82

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Solution

The fourth proportional to 283.56, 391.42 and 213.82 is: 295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.56 : 391.42 = 213.82 : x
  2. Step 2: Convert to fraction form
    283.56/391.42 = 213.82/x
  3. Step 3: Cross multiply
    283.56x = 391.42 × 213.82
  4. Step 4: Simplify right side
    283.56x = 83,693.42
  5. Step 5: Solve for x
    x = 83,693.42/283.56
  6. Step 6: Final answer
    x = 295.15

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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.