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Finding the Fourth Proportional to 283.57, 391.20 and 209.86

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Solution

The fourth proportional to 283.57, 391.20 and 209.86 is: 289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.57 : 391.20 = 209.86 : x
  2. Step 2: Convert to fraction form
    283.57/391.20 = 209.86/x
  3. Step 3: Cross multiply
    283.57x = 391.20 × 209.86
  4. Step 4: Simplify right side
    283.57x = 82,097.23
  5. Step 5: Solve for x
    x = 82,097.23/283.57
  6. Step 6: Final answer
    x = 289.51

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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.