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Finding the Fourth Proportional to 283.96, 391.85 and 179.07

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Solution

The fourth proportional to 283.96, 391.85 and 179.07 is: 247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.96 : 391.85 = 179.07 : x
  2. Step 2: Convert to fraction form
    283.96/391.85 = 179.07/x
  3. Step 3: Cross multiply
    283.96x = 391.85 × 179.07
  4. Step 4: Simplify right side
    283.96x = 70,168.58
  5. Step 5: Solve for x
    x = 70,168.58/283.96
  6. Step 6: Final answer
    x = 247.11

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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.