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Finding the Fourth Proportional to 283.87, 391.68 and 221.70

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Solution

The fourth proportional to 283.87, 391.68 and 221.70 is: 305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.87 : 391.68 = 221.70 : x
  2. Step 2: Convert to fraction form
    283.87/391.68 = 221.70/x
  3. Step 3: Cross multiply
    283.87x = 391.68 × 221.70
  4. Step 4: Simplify right side
    283.87x = 86,835.46
  5. Step 5: Solve for x
    x = 86,835.46/283.87
  6. Step 6: Final answer
    x = 305.90

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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.