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Finding the Fourth Proportional to 283.76, 391.83 and 179.03

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Solution

The fourth proportional to 283.76, 391.83 and 179.03 is: 247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.76 : 391.83 = 179.03 : x
  2. Step 2: Convert to fraction form
    283.76/391.83 = 179.03/x
  3. Step 3: Cross multiply
    283.76x = 391.83 × 179.03
  4. Step 4: Simplify right side
    283.76x = 70,149.32
  5. Step 5: Solve for x
    x = 70,149.32/283.76
  6. Step 6: Final answer
    x = 247.21

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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.